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

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

Solve for y, x

$$x=\frac{1}{2}=0.5$$

$$y=-1$$

Solution Steps

Consider the first equation. Subtract 2 from both sides.

$$-y=3-2$$

Subtract 2 from 3 to get 1.

$$-y=1$$

Divide both sides by -1.

$$y=-1$$

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

$$2x-\left(-1\right)=2$$

Multiply -1 and -1 to get 1.

$$2x+1=2$$

Subtract 1 from both sides.

$$2x=2-1$$

Subtract 1 from 2 to get 1.

$$2x=1$$

Divide both sides by 2.

$$x=\frac{1}{2}$$

The system is now solved.

$$y=-1 x=\frac{1}{2}$$