Solve graphically \( \begin{array}{l}x+4 y=15 \\ x+2 y=7\end{array} \)

Solve the system of equations \( x+4y=15;x+2y=7 \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}x+4y=15\\x+2y=7\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}x=15-4y\\x+2y=7\end{array}\right.\) - step2: Substitute the value of \(x:\) \(15-4y+2y=7\) - step3: Add the terms: \(15-2y=7\) - step4: Move the constant to the right side: \(-2y=7-15\) - step5: Subtract the numbers: \(-2y=-8\) - step6: Change the signs: \(2y=8\) - step7: Divide both sides: \(\frac{2y}{2}=\frac{8}{2}\) - step8: Divide the numbers: \(y=4\) - step9: Substitute the value of \(y:\) \(x=15-4\times 4\) - step10: Calculate: \(x=-1\) - 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 \(x+4y=15\) and \(x+2y=7\) is \(x=-1\) and \(y=4\).