Question

What is the solution to this system of linear equations? 7x – 2y = –6 8x + y = 3

Answer 1

Answer:

x=0 and y=3

Step-by-step explanation:

Multiply the second equation by 2 and add the equations. You will get x=0. Substitute this in any one of the equations to get y.

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Answer 2

The solution to this system of linear equations is x = 0 and y = 3

Solution:

Given system of equations are:

7x – 2y = –6  -------- eqn 1

8x + y = 3  ------- eqn 2

We have to solve the system of equations

Multiply eqn 2 by 2

16x + 2y = 6 -------- eqn 3

Add eqn 1 and eqn 3

7x – 2y = –6

16x + 2y = 6

( + ) --------------

23x = -6 + 6

23x = 0

x = 0

Substitute x = 0 in eqn 1

7(0) - 2y = -6

2y = 6

y = 3

Thus solution to given system of equations are x = 0 and y = 3

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