solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Answers

Answer 1

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6


Related Questions


Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Answers

The required equation that represents the graph is y = x + 30

The standard linear equation is given as y = mx + b

m is the slope b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

The required equation that represents the graph is y = x + 30

Learn more on equation of a line here: https://brainly.com/question/13763238

What is the volume of a cube that has a height of 10 inches? 10 inches

A:600 cubic inches
B:100 cubic inches
C:40 cubic inches
D:1,000 cubis inches​

Answers

Answer:

i think its B.

Thats only i know

1. Suppose 750 tickets were sold for a concert with a total revenue of $5300. If adult tickets were $8 and
student tickets were $4.50, how many of each type of ticket were sold?

a) Define your variables.
X=______
y =_______
b) Write the system of equations.
Equation 1:_______
Equation 2:______

c) Solve the system of equations and determine how many of each type of ticket were sold.
ha

Answers

Answer:

x=65

Step-by-step explanation:

y= 23213

What is the slope

A) 1/3

B) 3

C) 2

Answers

Answer:

3 (B)

Step-by-step explanation:

rise/run

rise=3

run=1

3/1=3

It’s 3,
Because it starts at 1, moves up 3 spaces just give 3.

Need help need help need help need help need help need help need help

Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

Plsss helpp no links plss

Answers

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

Will give brainliest!! Thank you

Answers

Answer:

All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.  

Please give brainliest only need 3 more brainliest before next rank!

Step-by-step explanation:

a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.

b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.

c) Yes, a pyramid can be formed by stacking polygons.

If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a  pyramid that includes a vertex.

f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.

e) Yes, a cone can be formed by stacking disc.

We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.

f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.

Answer:

B and D

Step-by-step explanation:

Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast

Answers

Answer:

It's attached

Step-by-step explanation:

y=4/3x-4

is the equation for the line

So you just plot the line.

The equation for the given slope and point is y = 4x/3 - 4

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line that has a slope of 4/3 and contains the point (0,-4)

The slope intercept of a line is y = mx+c, where m is slope,

Here, m = 4/3, x = 0 and y = -4

Finding for c,

-4 = 4/3x0+c

c = -4

Establishing the equation,

y = 4x/3-4

Now plotting the graph,

(Attached)

Hence, the graph will pass through the points (3,0) and (0,-4)

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT

Answers

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

estimate 127600 multipled by 0.93​

Answers

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent

Answers

Answer:

SAS

Step-by-step explanation:

there are vertical angles in the middle and the sides are already marked

Minh spent $3.50 on 25 stickers.

How much did each sticker cost?

Answers

Answer:

0.14

Step-by-step explanation:

brainliest please

Each sticker costs 14 cents

Given f(x)=1/4(5−x)2 what is the value of f(11)?

Answers

Answer:

-3

Step-by-step explanation:

Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.

help me please please​

Answers

Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooo0oo00o00oo0oo0o0o0o0o0oooooooooooooooooo

Answers

Answer:

wat?

Step-by-step explanation:

merry christmas....yey!!

Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x

Answers

Answer:

D

Step-by-step explanation:

(3x³ - 10x² + 13x)  -  (5x³ + 4x² - 9x)

3x³ - 10x² + 13x  - 5x³ - 4x² + 9x  Change all terms after the subtraction sign to

                                                      the opposite sign (definition of Subtraction)

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)    Group like terms together

-2x³ - 14x² + 22x                                    

flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?

Answers

a.

The rate of the plane in still air is 700 km/h

Let V = rate of plane in still air and v = rate of wind.

When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time

(V - v) × 9 = 5220

V - v = 5220/9

V - v = 580  (1)

Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time

(V + v) × 8 = 6560

V + v = 6560/8

V + v = 820 (2)

Adding equations (1) and (2), we have

V - v = 580  (1)

+

V + v = 820 (2)

2V = 1400

V = 1400/2

V = 700 km/h

So, the rate of the plane in still air is 700 km/h.

b.

The rate of the wind is 120 km/h

Substituting V into (1), we have

V - v = 580  (1)

700 - v = 580  

v = 700 - 580

v = 120 km/h

So, the rate of the wind is 120 km/h

Learn more about rate of plane here:

https://brainly.com/question/18848032

HELP ASAP! TYSM IF U DO, WILL GIVE BRAINILEST!

Answers

its d becuase i used math-way

Step-by-step explanation:

b

=

4

Answer:

Option D

Step-by-step explanation:

Given equation:

b - 12 = - 8

Add 12 to both sides:

b - 12 + 12 = - 8 + 12b = 4

Correct graph is D, where point 4 is marked

5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square

that produce a minimum total area.

Answers

The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Represent the side length of the square with s, and the radius of the circle with r.

So, the perimeter (P) and the area (A) of the shape are:

[tex]P =4s + 2\pi r[/tex]

[tex]A =s^2 + \pi r^2[/tex]

The perimeter is 16. So, we have:

[tex]4s + 2\pi r = 16[/tex]

Divide through by 4

[tex]s + 0.5\pi r = 4[/tex]

Make s the subject

[tex]s = 4 - 0.5\pi r[/tex]

Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]

[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]

Expand

[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]

This gives

[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]

Differentiate with respect to r

[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

Set to 0

[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]

Add 4pi to both sides

[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]

Divide both sides by 2

[tex](0.25\pi^2 + \pi )r =2\pi[/tex]

Make r the subject

[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]

Factor out pi

[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]

Cancel out the common factors

[tex]r =\frac{2}{0.25\pi + 1 }[/tex]

Express pi as 3.14

[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]

[tex]r =\frac{2}{1.785}[/tex]

Divide

[tex]r =1.12[/tex]

Recall that:

[tex]s = 4 - 0.5\pi r[/tex]

This gives

[tex]s =4 -0.5 \times \pi \times 1.12[/tex]

This gives

[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]

[tex]s =2.24[/tex]

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Read more about minimum areas at:

https://brainly.com/question/6427280

Need a little help on this

Answers

This triangle has two same long sides, Therefore, the two unknown angles have the same value

triangle total angle value = 180°
180° - 56° = 124° : 2 = 62°

Answer:

Step-by-step explanation:

This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.

x + x + 56 = 180                  Combine the left

2x + 56 = 180                      Subtract 56 from both sides.

2x = 180 - 56

2x = 124                               Divide by 2

x = 124/2

x = 62

Write a multiplication equation that represents the question: how many 2/3 are in 9/8?

Answers

how many 2/3 are in 9/8?

or another way to put it will be

how many times does 2/3 go into 9/8?

well, is simply a division.

[tex]\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}[/tex]

Consider the following conversation.
Paul: Alsafat telling a lie.
Alsafat: I am telling a lie.
Emman: Paul telling a lie.
Suppose that exactly one of them telling a truth. Who is telling a truth?

Answers

Answer: Emman is telling the truth because no one is saying that he is telling a lie.

Step-by-step explanation:

right answers only plz and thank you :)

Answers

The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

Learn more on polynomial function  here: https://brainly.com/question/10881257

If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?

Answers

Answer:

100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%

Hope This Helps!!!

Answer:

i think probably 3/28 ,that 3 boys will sit together

Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6

Answers

Answer:

can't see the pic properly

Some help please please

Answers

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.

Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).

[tex]x\sqrt{2}[/tex]

x=8

Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.

Answer:

oh snap i have this question too sorry cant help :(

Step-by-step explanation:

but i can provide with advice bc is the side down and bd is across us this to your advantage

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​

Answers

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

Answer:

Step-by-step explanation:

So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated

Order the following fractions from least to greatest: 11/5, 6/5, 1/5

Answers

Answer: 1/5, 6/5, 11/5.

Step-by-step explanation:

1/5 is the smallest, as it isnt even 1 whole! (5/5)

6/5 = 1 1/5.

11/5 = 2 1/5, so its the greatest

Find the difference. 2/5(d-10)-2/3(d+6)

Answers

[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

Round 479 to the nearest ten. Enter your answer in the box below.
Answer here
.
SUBMIT

Answers

Answer:

480

we round up because the last number is bigger than 5

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