Break down the problem into these 2 equations.
\[2x+3y=8\]
\[2x+3y=x-2y+3\]
Solve the 1st equation: \(2x+3y=8\).
Subtract \(3y\) from both sides.
\[2x=8-3y\]
Divide both sides by \(2\).
\[x=\frac{8-3y}{2}\]
\[x=\frac{8-3y}{2}\]
Solve the 2nd equation: \(2x+3y=x-2y+3\).
Subtract \(x\) from both sides.
\[2x+3y-x=-2y+3\]
Simplify \(2x+3y-x\) to \(x+3y\).
\[x+3y=-2y+3\]
Subtract \(3y\) from both sides.
\[x=-2y+3-3y\]
Simplify \(-2y+3-3y\) to \(-5y+3\).
\[x=-5y+3\]
\[x=-5y+3\]
Collect all solutions.
\[x=\frac{8-3y}{2},-5y+3\]
x=(8-3*y)/2,-5*y+3
