.
The expression for \(y\) is substituted into the second equation: \(2x-3(5-x)=4\).
The equation is simplified: \(2x-15+3x=4\), which leads to \(5x-15=4\).
The value of \(x\) is found by solving \(5x=19\), resulting in \(x=\frac{19}{5}\).
The value of \(x\) is substituted back into \(y=5-x\), yielding \(y=5-\frac{19}{5}\).
The value of \(y\) is calculated as \(y=\frac{25}{5}-\frac{19}{5}=\frac{6}{5}\). Final Answer
The solution is \(x=\frac{19}{5}\) and \(y=\frac{6}{5}\)
Written on Sept. 28, 2025, 6:52 a.m.