Solve {l}{-x+2y=2}{2x-3x=4}

$$\left. \begin{array} { l } { - x + 2 y = 2 } \\ { 2 x - 3 x = 4 } \end{array} \right.$$

Solve for x, y

$$x=-4$$

$$y=-1$$

Solution Steps

Consider the second equation. Combine 2x and -3x to get -x.

$$-x=4$$

Divide both sides by -1.

$$x=-4$$

Consider the first equation. Insert the known values of variables into the equation.

$$-\left(-4\right)+2y=2$$

The opposite of -4 is 4.

$$4+2y=2$$

Subtract 4 from both sides.

$$2y=2-4$$

Subtract 4 from 2 to get -2.

$$2y=-2$$

Divide both sides by 2.

$$y=\frac{-2}{2}$$

Divide -2 by 2 to get -1.

$$y=-1$$

The system is now solved.

$$x=-4 y=-1$$