Solve for: {\text{begin}array l y-x=8 } x-y=4\text{end}array .

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  3. Solve for: {\text{begin}array l y-x=8 } x-y=4\text{end}array .

Expression: $\left\{\begin{array} { l } y-x=8 \\ x-y=4\end{array} \right.$

Solve the equation for $x$

$\left\{\begin{array} { l } y-x=8 \\ x=4+y\end{array} \right.$

Substitute the given value of $x$ into the equation $y-x=8$

$y-\left( 4+y \right)=8$

Solve the equation for $y$

$∅$

Since system has no solution for $y$, the system has no solutions

$\textnormal{No solution}$

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