Solve \[ \begin{array}{l}-4 x-10 y=-2 \\ -4 x-6 y=2\end{array} \]

Solve the system of equations \( -4x-10y=-2;-4x-6y=2 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}-4x-10y=-2\\-4x-6y=2\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}x=\frac{1-5y}{2}\\-4x-6y=2\end{array}\right.\) - step2: Substitute the value of \(x:\) \(-4\times \frac{1-5y}{2}-6y=2\) - step3: Simplify: \(-2+4y=2\) - step4: Move the constant to the right side: \(4y=2+2\) - step5: Add the numbers: \(4y=4\) - step6: Divide both sides: \(\frac{4y}{4}=\frac{4}{4}\) - step7: Divide the numbers: \(y=1\) - step8: Substitute the value of \(y:\) \(x=\frac{1-5\times 1}{2}\) - step9: Substitute back: \(x=\frac{1-5}{2}\) - step10: Calculate: \(x=-2\) - step11: Calculate: \(\left\{ \begin{array}{l}x=-2\\y=1\end{array}\right.\) - step12: Check the solution: \(\left\{ \begin{array}{l}x=-2\\y=1\end{array}\right.\) - step13: Rewrite: \(\left(x,y\right) = \left(-2,1\right)\) The solution to the system of equations is \( (x,y) = (-2,1) \).