s streak, so let's start a new one today. \( \begin{array}{l}\text { Find the solution to the system of equations. } \\ \text { You can use the interactive graph below to find the solution. } \\ \left\{\begin{array}{l}y=-7 x+3 \\ y=-x-3\end{array}\right. \\ \text { week } \\ \text { streak }\end{array} \)

Solve the system of equations \( y=-7x+3;y=-x-3 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}y=-7x+3\\y=-x-3\end{array}\right.\) - step1: Substitute the value of \(y:\) \(-7x+3=-x-3\) - step2: Move the variable to the left side: \(-7x+3+x=-3\) - step3: Add the terms: \(-6x+3=-3\) - step4: Move the constant to the right side: \(-6x=-3-3\) - step5: Subtract the numbers: \(-6x=-6\) - step6: Change the signs: \(6x=6\) - step7: Divide both sides: \(\frac{6x}{6}=\frac{6}{6}\) - step8: Divide the numbers: \(x=1\) - step9: Substitute the value of \(x:\) \(y=-7\times 1+3\) - step10: Simplify: \(y=-4\) - step11: Calculate: \(\left\{ \begin{array}{l}x=1\\y=-4\end{array}\right.\) - step12: Check the solution: \(\left\{ \begin{array}{l}x=1\\y=-4\end{array}\right.\) - step13: Rewrite: \(\left(x,y\right) = \left(1,-4\right)\) The solution to the system of equations is \( (x, y) = (1, -4) \).