{x-2y=-8

{6x+7y=9

To solve this system of equations, we can use the method of substitution.

From the first equation, we can rearrange it to solve for x:
x = 2y - 8

Now we substitute this expression for x into the second equation:
6(2y - 8) + 7y = 9

Distribute the 6 to get:
12y - 48 + 7y = 9

Combine like terms:
19y - 48 = 9

Add 48 to both sides:
19y = 57

Divide both sides by 19 to solve for y:
y = 3

Now substitute this value of y back into the first equation:
x - 2(3) = -8

Simplify:
x - 6 = -8

Add 6 to both sides:
x = -2

Therefore, the solution to the system of equations is x = -2 and y = 3.