Solve {l}{2y+2x=42}{x=15+7}

$$\left. \begin{array} { l } { 2 y + 2 x = 42 } \\ { x = 15 + 7 } \end{array} \right.$$

Solve for y, x

$$x=22$$

$$y=-1$$

Solution Steps

Consider the second equation. Add 15 and 7 to get 22.

$$x=22$$

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

$$2y+2\times 22=42$$

Multiply 2 and 22 to get 44.

$$2y+44=42$$

Subtract 44 from both sides.

$$2y=42-44$$

Subtract 44 from 42 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.

$$y=-1 x=22$$