4) \( \begin{array}{l}-3 x-3 y=3 \\ y=-5 x-17\end{array} \)

Solve the system of equations \( -3x-3y=3;y=-5x-17 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}-3x-3y=3\\y=-5x-17\end{array}\right.\) - step1: Substitute the value of \(y:\) \(-3x-3\left(-5x-17\right)=3\) - step2: Simplify: \(12x+51=3\) - step3: Move the constant to the right side: \(12x=3-51\) - step4: Subtract the numbers: \(12x=-48\) - step5: Divide both sides: \(\frac{12x}{12}=\frac{-48}{12}\) - step6: Divide the numbers: \(x=-4\) - step7: Substitute the value of \(x:\) \(y=-5\left(-4\right)-17\) - step8: Calculate: \(y=3\) - step9: Calculate: \(\left\{ \begin{array}{l}x=-4\\y=3\end{array}\right.\) - step10: Check the solution: \(\left\{ \begin{array}{l}x=-4\\y=3\end{array}\right.\) - step11: Rewrite: \(\left(x,y\right) = \left(-4,3\right)\) The solution to the system of equations is \( x = -4 \) and \( y = 3 \).