Solve the following system of linear equations by graphing: \[ \begin{array}{r}-4 x+y=6 \\ -2 x+y=6\end{array} \]

Solve the system of equations \( -4x+y=6;-2x+y=6 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}-4x+y=6\\-2x+y=6\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}y=6+4x\\-2x+y=6\end{array}\right.\) - step2: Substitute the value of \(y:\) \(-2x+6+4x=6\) - step3: Add the terms: \(2x+6=6\) - step4: Move the constant to the right side: \(2x=6-6\) - step5: Subtract the terms: \(2x=0\) - step6: Rewrite the expression: \(x=0\) - step7: Substitute the value of \(x:\) \(y=6+4\times 0\) - step8: Simplify: \(y=6\) - step9: Calculate: \(\left\{ \begin{array}{l}x=0\\y=6\end{array}\right.\) - step10: Check the solution: \(\left\{ \begin{array}{l}x=0\\y=6\end{array}\right.\) - step11: Rewrite: \(\left(x,y\right) = \left(0,6\right)\) The solution to the system of linear equations by graphing is \( (x, y) = (0, 6) \).