Solve the system of linear equations by substitution x=5y+2 and x-4y=5

Answers

Answer 1

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)


Related Questions

List the ordered pairs

Answers

Step-by-step explanation:

C. in descending order by weight<br /><br />

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.

Answers

Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

Please help

Thank you

Answers

Answer:

m ∠JPN = 131°    

Step-by-step explanation:

m ∠JPL = m ∠MPK                         Vertical angles are =

7x + 19 = 11x -17                               Substitution  

- 4x =  -36                                      Algebra: Solving for x

   x = 9                                           Algebra: Solving for x

 m ∠JPL = 82°                              Substitution x = 9 into m ∠JPL = 7x +19

m ∠JPL + m ∠LPK = 180°             Definition of linear pair/supplement

                                                     angles = 180°

82° + m ∠LPK = 180°                      Substitution    

            m ∠LPK = 98°                     Algebra

m ∠LPK = m ∠LPN + m ∠NPK        Angle addition Theorem

       PN bisects ∠LPK                     Given    

m ∠LPN = m ∠NPK                          Definition of angle bisector

98 ° = 2 ( m ∠LPN)                           Substitution  

    m ∠LPN = 49°                             Algebra

m ∠JPN = m ∠JPL + m ∠LPN         Angle Addition

 m ∠JPN = 82° + 49°                     Substitution  

m ∠JPN = 131°                                 Addition    

Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market

Answers

A) checking
This is because it’s not a savings so it just goes in and out

Ricardo wants to cover a shelf with shelf
liner. The shelf is 4 feet wide and feet
deep. What is the area of the shelf?

Answers

Answer:

16 also th8s needs to be 16 letters long lol

Step-by-step explanation:

4 times 4 is 16

in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall?

Answers

I think it is 588 chairs

A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?

Answers

Answer:

The answer is 72%  

Step-by-step explanation:  

[tex]\frac{54}{75} = 72[/tex]

54 out of 75 is a percentage of 72%.  

Mark me brainliest if possible, it's always appreciated!  

Hope this helps!  

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

The percentage of the goal did he achieve will be 72%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.

The percentage of the goal did he achieve will be calculated as,

P = (54 / 75) x 100

P = 0.72 x 100

P = 72%

The percentage of the goal did he achieve will be 72%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

How many fourth-fifths are in eight

Answers

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes

Answers

Answer:

2.8 miles

Step-by-step explanation:

Speed of Rafael = 7 miles / 60 min = 7/60 miles/min

Time for next run = 24 min

Length of the next run = 7/60 miles/min *24 min = 2.8

2.
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.

Answers

Answer: the answer is 3.7%

Step-by-step explanation:

We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80

3/80=0.0375

to find percentage take 0.0375 and multiply it by 10 to get 3.7

therefor the answer is 3.7%

What is the greatest common factor of 8, 28, and 48?

Answers

[tex] \: \: \: \: \: \: \: [/tex]

the GCF of 28,48 are

GCF OF 28

1 , 2, 4, 7, 14, 28

GCF OF 48

1 , 2, 3, 4, 6, 8, 12, 16, 24, 48

hope it helps

The greatest common factor of 8, 28, and 48 is 4.

Greatest Common Factor

The largest common factor out of all the numbers in the given set is known as Greatest Common Factor.

How to evaluate Greatest Common Factor?

Factors of 8, [tex]8=2\times 2\times 2[/tex]

Factors of 28, [tex]28=2\times 2\times 7[/tex]

Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]

The common factors in the above set of numbers are 2and 2.

So, the Greatest Common Factor of 8, 28, and 48 is  [tex]2\times 2=4[/tex].

Learn more about Greatest Common Factor here: https://brainly.com/question/11444998

#SPJ2

100 pts. & will give brainliest! answer asap

every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.

c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds

d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.

Answers

First we need to differentiate y

[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]

[tex]\\ \sf\Rrightarrow -32x-110[/tex]

Now let it be 0

[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]

[tex]\\ \sf\Rrightarrow -32x=110[/tex]

[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]

[tex]\\ \sf\Rrightarrow x=3.44s[/tex]

Put it in y

[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]

[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

B

Step-by-step explanation:

For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get

1.09x + 1.59y + 1.59z

8 is 16% of (blank) please help (:

Answers

Answer:

50

Step-by-step explanation:

8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?

Answers

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310

 

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

 

Now, we can solve the system of equations using substitution.

 

F + S = 310

.06F + .11S = .08(310)

 

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

 

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

 

find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?

Answers

=> 6- 4x +6x -8x +6 = 0

=> 12 -6x = 0

=> 6x = 12

=> x = 2

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi

143
21
7
5

and if you can go answer my other questions????? plzzz

Answers

Diameter is 1.41 if you use the formula it’s suppose to give you 1.41

Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the x axis at one to a minimum around y equals negative zero point six and goes up to cross the x axis two to a maximum around y equals zero point two and and then goes back down to a touch the x axis at three and then goes back up to the top right. f(x) = (x − 3)2(x + 2)(x − 1) f(x) = (x + 3)2(x − 2)(x + 1) f(x) = (x + 3)2(x + 2)(x + 1) f(x) = (x − 3)2(x − 2)(x − 1)

Answers

Answer:

  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

I don't know what to do

Answers

Answer:

See answer below.

Step-by-step explanation:

P(v) = -4v³ + 12v² - 9v

Point (-5, -845) is not a point on the graph

P(-5) = -4(-5)³ + 12(-5)² - 9(-5)

P(-5) = 500 + 300 + 45

P(-5) = 800 + 45

P(-5) = 845                     point (-5, 845) is a solution

this question is kind of confusing and i need help, please and thank you! :)

Answers

ummmmmmmm a lot and alot

2 slices a day = 0.5
1 year = 365 days
6 years = (365x6) = 2190 days
2190 days x 0.5 (half) = 1095
answer = 1095 pounds

6>2k+4

WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Answers

Answer:

is it 1?

Step-by-step explanation:

I need helpppppppppppop

Answers

Answer:

Step-by-step explanation:

Domain:  I don't see any restrictions on the domain, although at some point y will become exceedingly large.

Range:  -9 to infinity

Increasing Interval:  x>2

Decreasing Interval:  x <2

End behavior:

- as x ⇒∞, y⇒∞

Please help. Question a and b

Answers

X roughly equals 3.99

the table shows the height of the sage bush at each of 2 ages. what was the bushes average rate of growth per year during this time period. pls answer quick

Answers

Answer:

2.4 inches a year

Step-by-step explanation:

It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)

(Brainliest ??)

if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help

Answers

Answer:

x

=

8

13

3

,

8

+

13

3

I dont know why the answer is spacing out like this

It requires 350 joules to raise a certain amount of a substance from 10. 0°C to 30. 0°C. The specific heat of the substance is 1. 2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g.

Answers

The correct option is B which is 15 g.

Given to us:

the heat  [tex]Q= 350\ Joules[/tex],

the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],

the lower temperature [tex]t_1= 10^o C[/tex],

the higher temperature [tex]t_2= 30^o C[/tex],

Formula for specific heat:

[tex]Q=mc(\Delta T)[/tex]

where,

[tex]m[/tex] is the mass,

[tex](\Delta T)[/tex] is the temperature difference,

Putting in the values;

[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]

Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.

To know more visit:

https://brainly.com/question/1209542

What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375

A.564
B.420
C.427
D.394

Answers

C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427

What is 10/11x11/12 in the fraction form

Answers

Answer:

83/100

Step-by-step explanation:

10/11x11/12 is 0.8333333....

The price of an item has been reduced by 20% The original price was $32 find the price of the item now.

Answers

Answer:

25.6

Step-by-step explanation:

32-(32*20%)=32-6.4=25.6

Match each inequality with its solution set.

1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3

Answers

1.

5 - 3x >= 11

-3x >= 11-5

-3x >= 6

3x <= -6

x <= -6/3

x <= -2

x ∈ (-∞ ; -2]

2.

1 + 3x >= - 5

3x >= -5 - 1

3x >= -6

x >= -6/3

x >= - 2

x ∈ [-2 ; + ∞)

3.

5x + 7 >= 17

5x >= 10

x >= 10/5

x >= 2

x ∈ [2 ; + ∞)

4.

2x + 1 <= 3

2x <= 2

x <= 1

x ∈ (-∞ ; 1]

Good Luck

Other Questions
A riot differs from a mob in that the riot:a. is not usually violent.b. typically has little focus or clear goal.c.involves fewer people.d. is not as common in U.S. history. 8. If the measure of one side of a square is increased by 2 centimeters and the measure ofthe adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is32 square centimeters. Find the measure of one side of the square (the original figure). A projectile is fired with a velocity of 320 ms at an angle of 30 degree to a horizontal.1 Find the time to reach the maximum height. 2 it's horizontal range. NO LINKS I WILL REPORT BUT PLEASE HELP 20 POINTS1. You are upset with your brother or sister. (If you don't have one, just pretend.)Boss him or her around a little, giving him or her at least 3 commands, two positiveand one negative . Use object pronouns in at least two of your commands. simply the problem pls answer quick could use some help. giving brainly. How many molecules are in 1.3 moles of water? A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km explain in you own words how does anxiety and depression work G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0 You are investigating how objects move when they are dropped from different heights. To collect your data, you drop a 1 kg weight from different heights and record the time it takes for the object to hit the ground when dropped from different heights. The data you collect is shown below:Height dropped (m)Time to fall (s)1.00.452.00.633.00.784.00.89Next, you plan to drop a 5 kg weight from the same heights. How will your time values in your new data table for the 5 kg weight compare to the time values in the old data table for the 1 kg weight? Stacy was sitting in a seat at a football game when another ticket holder told her she was in thewrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?(x, y) + (x - 5, y + 3)(x, y) = (x - 3, y + 5)(x, y) = (x + 5, y - 3)(x, y) = (x + 3, y-5) Can someone plz help me? :) Use the distributive property to multiply 4,345 x 2 Read the excerpt from Little Women by Louisa May Alcott.Having rekindled the fire, she thought she would go to market while the water heated. The walk revived her spirits, and flattering herself that she had made good bargains, she trudged home again, after buying a very young lobster, some very old asparagus, and two boxes of acid strawberries. By the time she got cleared up, the dinner arrived and the stove was red-hot.Which statement correctly identifies a transition used in this excerpt and explains how it supports the reader?The word "while" helps the reader determine that the character goes to the market at the same time the water is heating.The word "again" helps the reader determine that the character goes to the market more than once.The word "after" helps the reader determine that the character goes to the market after the water heated.The words "by the time" help the reader determine how long it took the character to get home from the market.I need it asap also 100 poits if your rightAND DONT BE STUIPID OR ELSE YOULL GET COAL. at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male alguem aqui pode me ajudar ? If an invasive species emigrated from a continent to a small island near the continent, what would most likely occur on the island 6. What is the value of the underlined digits?504,405,623Math