solve the system using substitution 5x+3y=-4 y-2x=6

Answers

Answer 1

Solving steps:-

5x+3y=−4

y−2x=6

-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x+3y=−4,−2x+y=6

-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x+3y=−4

-->Subtract 3y from both sides of the equation.

5x=−3y−4

--> Divide both sides by 5.

x = 1/5(-3y - 4)

--> Multiply 1/5 −3y−4.

x = -3/5y - 4/5

--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.

-2 (-3/5y - 4/5) + y = 6

--> Multiply −2 times -3y - 4/ 5

6/5y + 8/5 + y = 6

--> Add 6y/5 to y

11/5y + 8/5 = 6

--> Subtract 8/5 from both sides of the equation.

11/5y = 22/5

--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.

y = 2

--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.

x = -3/5 x 2 - 4/5

--> Multiply -3/5 times 2.

x = -6 - 4/ 5

--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x = -2

--> The equation is now solved.

Answer : x = -2, y = 2

Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.


Related Questions

If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000

Answers

Answer:

462,000

Step-by-step explanation:

300,000+150,000+12,000=462,000

Answer:

Step-by-step explanation:

Find the Simple interest paid for eight years on a $850 loan at 7.5% a year

Answers

Answer:

850 divided by 7.5

Step-by-step explanation:

what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3​

Answers

[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]

Mr. Bailey announced the grade distribution for
his science fair projects. Of the 36 students in the
class, 12 earned A's, 18 earned B's, and 6 earned
C's. If Mr. Bailey were to randomly select one of
his students to talk about their project, what is the
probability that the student chosen had earned an
A on their science fair project?

Answers

Answer:

12/36

Step-by-step explanation:

Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.

f(x)=x+1/x-2
find the inverse

Answers

X=1/2
Could be your answer

When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?

Answers

grandchildren get 25,000 and child gets
50.000

What rational number represents a drop of 4 1/4 in?


Enter your answer in the box.

Answers

Answer:

The fraction 1/4 is a rational number.

It stands for the ratio between the integers 1 and 4.

Answer:

this is your answer

Step-by-step explanation:

this is your answer

(4x 2 − 2x + 10) + (−2x 2 + 4x − 2)

Answers

Answer:

2x²+2x+8

Step-by-step explanation:

4x²-2x+10-2x²+4x-2

=4x²-2x²-2x+4x+10-2

=2x²+2x+8

Would 5/5x2 3/4 be less greater or equal to 2 3/4

Answers

Answer:

greater

Step-by-step explanation:

if you add them and do the multiplication it is greater

Answer:

It would be equal

Step-by-step explanation:

You first divide 5/5, which is equal to 1, multiply that by 2 to get 2.

After that, there is a 3/4 sitting around so you add 3/4 to 2.

Then you will see that both are equal.

A train has 11 train cars. At least 11 passengers are in each train car. No 3 neighboring train cars have more than 50 passengers altogether. What is the maximum possible number of people on the train?

Answers

The maximum possible number of people on the train is 183.

Given that a train has 11 train cars, and at least 11 passengers are in each train car, and no 3 neighboring train cars have more than 50 passengers altogether, to determine what is the maximum possible number of people on the train, the following calculation must be done:

50/3 = 16.66 16 + 17 + 17 = 50 16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 = X 16 x 4 + 17 x 7 = X 64 + 119 = X 183 = X

Therefore, the maximum possible number of people on the train is 183.

Learn more about quantities in https://brainly.com/question/21477139

Answer:

189

Step-by-step explanation:

Set up 11 slots on a piece of paper, to simplify since each car must have 11 cars we will be alternating 28,11,11 in a repeated pattern thus getting us 28,11,11,28,11,11,28,11,11,28,11 when you add them up you get 189

152 feet in 16 seconds

Answers

Answer:

I'm not sure what you're asking but that is 9.5 feet per second.

Step-by-step explanation:

152÷16=9.5

Answer:

if you are asking about the unit rate it is 9.5 feet per second

Step-by-step explanation:

You just have to do 152/16

hope this helps

5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise

Answers

Answer:

5.32

Step-by-step explanation:

it had a more exact reading than the others

The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.

Answers

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

Answer:

He's right it's 28.3

Step-by-step explanation:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 15 feet. Container B has a diameter of 16 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?

Answers

Answer:

5.2%

Step-by-step explanation:

Volume of cylinder= πr²h

In Container A,

D= 18ft, r=18/2=9ft, h=15ft

volume= 22/7 × 9² × 15

= 26730/7 cubic ft.

In Container B,

D=16ft, r= 16/2=8ft, h=18ft

volume= 22/7 × 8² × 18

= 25344/7 cubic ft.

percent of amount of water left in Container A= percent of container A that is full after pumping

Amount of water left in Container A,

26730/7 - 25344/7 = 1386/7

Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100

(1386×7×100)/(7×26730)= 5.185

To the nearest tenth= 5.2%

Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole

Answers

Answer:

15 ft.

Step-by-step explanation:

I will assume that either both objects are standing straight. We can use similar triangles.

We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:

[tex]\frac{6}{8} =\frac{x}{20}[/tex]

we can cross multiply and get:

8x=120

solve for x:

x=15

Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)

Which decimal is less than 0.12 and greater than 0.008?

Answers

Answer:

Too many examples.

You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.

Here are some examples between 0.12 and 0.008:

0.10.0650.580.07830.119

Fred bought a shirt that
was on sale. The original
price was $15.75, but it was
20% off. How much did
Fred save?

Answers

Answer:

Fred save about 3.15$ because is 20% off

PLEASE ANSWER ILL GIVE 5 STARS AND A HEART

Answers

Answer:

25

Step-by-step explanation:

10 + (b - a) · 5

10 + (7 - 4) · 5

10 + 3 · 5

10 + 15 = 25

Answer:

25

Step-by-step explanation:

If a = 4 and b = 7

First you gotta plug it in, so it'd become 10+(7-4)×5

Next we gotta use PEMDAS. So it would be 7-4 which would be 3, multiply that by 5 which would make 15, then add 10 for 25.

How many meters are equal to 18 kilometers?

Answers

Answer:

18000

Step-by-step explanation:

The number of meters in 18 kilometers is 18,000 meters(m)

How to convert meters to kilometers

1900 meter(m) = 1 kilometer(km)

x meters = 18 kilometers

x meters = 18 kilometers × 1000

x = 18,000 meters

Therefore, 18 kilometers is equivalent to 18,000 meters

learn more about conversion:

https://brainly.com/question/9032119

y=x-5 find the four points in the inverse

Answers

(0,5)
(-5,0)
(-1,4)
(1,6)

i’m not sure what your asking, but it’s an equation of a like with the y int at 5 with a slope of one

write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4

Answers

Answer:

[tex]x^3-2x^2-8x[/tex]

Step-by-step explanation:

[tex]x(x+2)(x-4)[/tex]

[tex]x(x^2-2x-8)[/tex]

[tex]x^3-2x^2-8x[/tex]


Find the slope of the line passing through the points (-7,8) and (-7,-6)
Find the slope of the line passing through the points (-9,-8) and (3,-8)

Answers

Answer:

1) undefined

2) 0

Step-by-step explanation:

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Problem 1:

(x1, y1) = (-7, 8)

(x2, y2) = (-7, -6)

Plug those 2 points into the slope formula and solve:

[tex]m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}[/tex]

Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:

[tex]x=-7[/tex]

Problem 2:

(x1, y1) = (-9, -8)

(x2, y2) = (3, -8)

[tex]m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0[/tex]

The slope is 0, and that would make a horizontal line on a graph. The equation would be:

[tex]y=-8[/tex]

You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answers

Answer: They are inverses of each other

==========================================================

Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

[tex]h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\[/tex]

and,

[tex]f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\[/tex]

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

Ok done. Thank to me:>

Sammy and her family are on a trip. So far, they have traveled 225 miles and are 25% of the way to their destination. How many total miles will they travel?

Answers

Answer: 900 miles total

Explanation: 25% is only 1/4 of the way, so in order to get to 100% you multiply it by 4. 225•4= 900
So 900 miles is your answer

What is the missing constant term in the perfect square that starts with x^2+2x?

Answers

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

Which number is a factor of 14 but not a multiple of 7??

Answers

Answer:

2

Step-by-step explanation:

Write out all the factors for 14

Then write out the multiples of 7

Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples

A dog shelter is giving away 18 different dogs, but you have room for only 4 of them.
How many different dog families could you create?

Answers

Answer:

..2

Step-by-step explanation:

The number of different dog families that you can create will be 3060.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.

Then the number of different dog families that you can create is given as,

¹⁸C₄ = (18!) / [(18 - 4)! x 4!]

¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)

¹⁸C₄ = 6 x 17 x 2 x 15

¹⁸C₄ = 3060

The number of different dog families that you can create will be 3060.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

13. The function y = 40(x - 1) + 70 can be used to determine the cost in dollars
for renting a trampoline park for a birthday party for x hours. What is the rate of
change of the cost in dollars to rent the trampoline park with respect to time?
A
$30 per hour
$40 per hour
B
с
$60 per hour
D
$110 per hour

Answers

Step-by-step explanation:

the function actually is

y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30

still, the slope (the factor of x) is 40.

that means y (the cost) increases by 40 for every additional hour (x increases by 1).

so, the rate of change (slope) is 40/1 = $40 per hour.

Find the value of the expression

j − 14

for j = 18.

Answers

J -14 =
18 - 14 =
I think the answer is 4

nvmnvmnvmvnmvnmvnvnmvv

Answers

Answer:

ur right

Step-by-step explanation:

Other Questions
describe the positive and negative aspects of the bumper crop of 1931 Which statement is NOT true about the U.S. Supreme Court?1. Acts as the last court of appeals2. Decides local civil cases dealing with small amounts of money3. Hears cases that involve the U.S. Constitution judy reminisces about when her children were young. she reveals to her daughter that she often felt tired and discouraged during those times. seeing her children as parents helps judy to realize that she was and is a good mother. this is an aspect of judys ______. Which numbers are all divisible by 5?-)))A)224, 777, 215, 466, 991B)335, 105, 430, 375, 265235, 111, 730, 374, 232D332, 350, 265, 425, 510 In the first week of July, a record people went to the local swimming pool. In the second week, fewer people went to the pool than in the first week. In the third week, more people went to the pool than in the second week. In the fourth week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks? A school allots 3000 to spend on a trip to the theatre.Theatre tickets have a regular cost of 45 each and are on offer for off.A train ticket for the day will cost 20 eachIf 3 teachers and the maximum number of students attend, how many students go on the trip? Work out the area of the shaded shape. 20 . What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1? A team of scientists is working to find the boiling point of a liquid at very low pressure. After three trials, the team has an averageof 12.3C. An additional trial gives a result of 13.1C. Which statement is a reasonable conclusion that can be drawn from thisresult? (1 point)O The original average should be thrown out because it could not be confirmed by new results.O More data should be collected because the first three trials appear to be wrong.O The original average should be used because it came from three results, not just one.O More data should be collected to get a more reliable average. What is the correct sequence in the transmission of a neural impulse? Explain why and show how the expression -x might represent a positive number, a negativenumber, or even 0. How do you decide where to shade an inequality whose boundary dose not go through the origin?A. For ,shade below the boundaryD.If (0,0) is a solution, shade the boundary. Which passage from the article best supports the ideathat the U.S. had not suspected an attack by Japan?A. Many vessels, including all eight battleships, weresunk or damaged, and 188 aircraft had beendestroyed.B. ...service members were raising the alarm: PearlHarbor was under attack by Imperial Japaneseforces.C. In 2021, the Best Defense Foundation is bringingmore than 50 Pearl Harbor veterans back to for the80th anniversary. They will visit theUSS Arizona Memorial.D. ...Japan's ambitions of expanding its power in Asiaand the Pacific region were well known. However,Americans believed Hawaii was too far away to Rewrite in the passive form:1. How do they teach you grammar?2. When did they buy the car? 3. Where did they hide him? 4. Has anyone ever called you an idiot? 5. Did the noise frighten you? 6. Will they help you? What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin? May someone help me with this please? PLEASE HELP!! MULTIPLE CHOICE A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour? what is midsummer night's dream play about?