Solve for variable x:
$\begin{array}{l}-7 x-6 y=-6 \\ -5 x+9 y=9\end{array}$

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Answer

The solution to the system of equations is $\boxed{x = 0}$ and $\boxed{y = 1}$

Steps

Step 1 ：Given the system of equations: $-7x - 6y = -6$ and $-5x + 9y = 9$

Step 2 ：First, multiply the first equation by 5 and the second equation by 7 to make the coefficients of x the same in both equations. This gives us: $-35x - 30y = -30$ and $-35x + 63y = 63$

Step 3 ：Subtract the second equation from the first to eliminate x: $93y = 93$

Step 4 ：Solve for y: $y = 1$

Step 5 ：Substitute y = 1 into the first equation: $-7x - 6(1) = -6$

Step 6 ：Solve for x: $x = 0$

Step 7 ：The solution to the system of equations is $\boxed{x = 0}$ and $\boxed{y = 1}$

Solve for variable x: $\begin{array}{l}-7 x-6 y=-6 \\ -5 x+9 y=9\end{array}$

Answer

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Solve for variable x:
$\begin{array}{l}-7 x-6 y=-6 \\ -5 x+9 y=9\end{array}$