Solve. \[ \begin{array}{l}-8 x-7 y=-8 \\ -9 x-7 y=-16\end{array} \]

Solve the system of equations \( -8x-7y=-8;-9x-7y=-16 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}-8x-7y=-8\\-9x-7y=-16\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}x=\frac{8-7y}{8}\\-9x-7y=-16\end{array}\right.\) - step2: Substitute the value of \(x:\) \(-9\times \frac{8-7y}{8}-7y=-16\) - step3: Simplify: \(-\frac{9\left(8-7y\right)}{8}-7y=-16\) - step4: Multiply both sides of the equation by LCD: \(\left(-\frac{9\left(8-7y\right)}{8}-7y\right)\times 8=-16\times 8\) - step5: Simplify the equation: \(-72+7y=-128\) - step6: Move the constant to the right side: \(7y=-128+72\) - step7: Add the numbers: \(7y=-56\) - step8: Divide both sides: \(\frac{7y}{7}=\frac{-56}{7}\) - step9: Divide the numbers: \(y=-8\) - step10: Substitute the value of \(y:\) \(x=\frac{8-7\left(-8\right)}{8}\) - step11: Calculate: \(x=8\) - step12: Calculate: \(\left\{ \begin{array}{l}x=8\\y=-8\end{array}\right.\) - step13: Check the solution: \(\left\{ \begin{array}{l}x=8\\y=-8\end{array}\right.\) - step14: Rewrite: \(\left(x,y\right) = \left(8,-8\right)\) The solution to the system of equations is \( (x,y) = (8,-8) \).