Break down the problem into these 2 equations.
Solve the 1st equation: \(4x-5y=m\).
Solve the 2nd equation: \(4x-5y=2x-3y\).
Add \(5y\) to both sides.
\[4x=2x-3y+5y\]
Simplify \(2x-3y+5y\) to \(2x+2y\).
\[4x=2x+2y\]
Subtract \(2x\) from both sides.
\[4x-2x=2y\]
Simplify \(4x-2x\) to \(2x\).
\[2x=2y\]
Cancel \(2\) on both sides.
\[x=y\]
Collect all solutions.