$$\left. \begin{array} { l } { 2 x - y = 5 3 x + 4 y = 2 } \\ { x - 2 y - 4 = 0 - 3 x + 5 y = - 9 } \\ { x - 3 y = 5 - 2 x + 5 y = - 9 } \\ { 2 x \right.$$
Solve for x
$x=-\frac{5y}{13}$
Steps for Solving Linear Equation
Multiply $5$ and $3$ to get $15$.
$$2x-y=15x+4y$$
Subtract $15x$ from both sides.
$$2x-y-15x=4y$$
Combine $2x$ and $-15x$ to get $-13x$.
$$-13x-y=4y$$
Add $y$ to both sides.
$$-13x=4y+y$$
Combine $4y$ and $y$ to get $5y$.
$$-13x=5y$$
Divide both sides by $-13$.
$$\frac{-13x}{-13}=\frac{5y}{-13}$$
Dividing by $-13$ undoes the multiplication by $-13$.