Solve the system by substitution. \[ \begin{aligned} y & =-5 x \\ y & =-7 x-14\end{aligned} \]

Solve the system of equations \( y=-5x;y=-7x-14 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}y=-5x\\y=-7x-14\end{array}\right.\) - step1: Substitute the value of \(y:\) \(-5x=-7x-14\) - step2: Move the variable to the left side: \(-5x+7x=-14\) - step3: Add the terms: \(2x=-14\) - step4: Divide both sides: \(\frac{2x}{2}=\frac{-14}{2}\) - step5: Divide the numbers: \(x=-7\) - step6: Substitute the value of \(x:\) \(y=-5\left(-7\right)\) - step7: Simplify: \(y=35\) - step8: Calculate: \(\left\{ \begin{array}{l}x=-7\\y=35\end{array}\right.\) - step9: Check the solution: \(\left\{ \begin{array}{l}x=-7\\y=35\end{array}\right.\) - step10: Rewrite: \(\left(x,y\right) = \left(-7,35\right)\) The solution to the system of equations by substitution is \( (x,y) = (-7,35) \).