г) \( \left\{\begin{array}{l}5(x-y)=10 \\ 3 x-7 y=20-(x+3 y)\end{array}\right. \)

Solve the system of equations \( 5(x-y)=10;3x-7y=20-(x+3y) \). Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}5\left(x-y\right)=10\\3x-7y=20-\left(x+3y\right)\end{array}\right.\) - step1: Calculate: \(\left\{ \begin{array}{l}5\left(x-y\right)=10\\3x-7y=20-x-3y\end{array}\right.\) - step2: Solve the equation: \(\left\{ \begin{array}{l}5\left(x-y\right)=10\\x=5+y\end{array}\right.\) - step3: Substitute the value of \(x:\) \(5\left(5+y-y\right)=10\) - step4: Simplify: \(25=10\) - step5: Calculate: \(\left\{ \begin{array}{l}x \in \varnothing \\y \in \varnothing \end{array}\right.\) - step6: Rewrite: \((x, y) \in \varnothing\) Система уравнений \( \left\{\begin{array}{l}5(x-y)=10 \\ 3x-7y=20-(x+3y)\end{array}\right. \) не имеет решения.