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Varvara68 [4.7K]
2 years ago
13

Question down below about linear equations and grapghing.

Mathematics
1 answer:
Alik [6]2 years ago
6 0

The system of equations is -x + y = 4 and -2x + y = 0

<h3>How to create the system of linear equations?</h3>

To do this, we make use of the following ordered pairs

(4, 8)

The above point represents April 2008.

Let the system of equations be

mx + ny = 4

2mx + ny = 0

Substitute (4, 8) for x and y in the above equations.

4m + 8n = 4

8m + 8n = 0

Subtract both equations

4m - 8m = 4

This gives

-4m = 4

Divide by 4

m = -1

Substitute m = -1 in 8m + 8n = 0

-8 + 8n = 0

This gives

8n = 8

Divide by 8

n = 1

So, the system of equations is -x + y = 4 and -2x + y = 0

<h3>The graph of the system of equations</h3>

The system of equations is -x + y = 4 and -2x + y = 0

See attachment for the graph of the system of equation

<h3>Prove that the solution is (4, 8)</h3>

The above is represented in the (a) part of this solution

Verify that the solution is (4, 8)

We have:

-x + y = 4 and -2x + y = 0

Substitute (4, 8) for x and y in the above equations.

-4 + 8 = 4 --- true

-2*4 + 8 = 0 --- true

Both equations are true

Hence, the system of equations have been verified

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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