4x - 7y = 6 over x - 7y = -9

Question

In an ordered pair

Answer 1

4x-7y=6/(x-7y)=-9?

Split into two equations: 

4x-7y=-9⇒12x-21y=-27

6=-9(x-7y)=-9x+63y⇒-3x+21y=2

So 9x=-25, x=-25/9.

Since 4x-7y=-9, -100/9-7y=-9, 7y=9-100/9=(81-100)/9=-19/9, y=-19/63.

SOLUTION: (-25/9,-19/63)

CHECK

-100/9+19/9=6/(-25/9+19/9)=-9,

-81/9=6/(-6/9)=-9,

-9=-9=-9 OK!