Question

Find the solution of this system of equations. Separate the x- and y- with commas.

x = -6 + y
and
-7x + 9y = 8

Answer 1

Explanation:

-7(-6 + y) + 9y = 8

42 - 7y + 9y = 8

2y + 42 = 8

2y = -34

y = -17

x = -6 - 17

x = -23

(-23, -17)

Answer 2

x = -23

y = -17

Explanation:

`x = - 6 + y \\ - 7x + 9y = 8 \\ \\ - 7( - 6 + y) + 9y = 8 \\ 42 - 7y + 9y = 8 \\ 2y = 8 - 42 \\ y = ( - 34)/(2) \\ y = - 17 \\ \\ x = - 6 + y \\ x = - 6 + ( - 17) \\ x = - 6 - 17 \\ x = - 23`