Respuesta :

7x - 2y = -6 . . . . . . . (1)
8x + y = 3 . . . . . . . . .(2)
From (2): y = 3 - 8x
substituting for y in (1), we have,
7x - 2(3 - 8x) = -6
7x - 6 + 16x = -6
23x = 0
x = 0
y = 3 - 8(0)
y = 3
Therefore, solution = (0, 3)

The solution to the system of linear equations 7x – 2y = –6 and 8x + y = 3 is (0,3)

How to determine the solution?

The equations are given as:

7x – 2y = –6

8x + y = 3

Multiply the second equation by 2

16x + 2y = 6

Add this equation and the first equation

16x + 7x + 2y - 2y = 6 - 6

Evaluate

23x = 0

Divide by 23

x = 0

Substitute x = 0 in 7x – 2y = –6

7(0) – 2y = –6

This gives

-2y = -6

Divide by -2

y = 3

Hence, the solution to the equations is (0,3)

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