Break down the problem into these 2 equations.
\[5x-2y=4\]
\[5x-2y=2x-5y\]
Solve the 1st equation: \(5x-2y=4\).
Add \(2y\) to both sides.
\[5x=4+2y\]
Divide both sides by \(5\).
\[x=\frac{4+2y}{5}\]
Factor out the common term \(2\).
\[x=\frac{2(2+y)}{5}\]
\[x=\frac{2(2+y)}{5}\]
Solve the 2nd equation: \(5x-2y=2x-5y\).
Subtract \(2x\) from both sides.
\[5x-2y-2x=-5y\]
Simplify \(5x-2y-2x\) to \(3x-2y\).
\[3x-2y=-5y\]
Add \(2y\) to both sides.
\[3x=-5y+2y\]
Simplify \(-5y+2y\) to \(-3y\).
\[3x=-3y\]
Divide both sides by \(3\).
\[x=-\frac{3y}{3}\]
Cancel \(3\).
\[x=-y\]
\[x=-y\]
Collect all solutions.
\[x=\frac{2(2+y)}{5},-y\]
x=(2*(2+y))/5,-y
