Solve {c}{2x+2y=40}{2x+20-x=40}

$$\left. \begin{array} { c } { 2 x + 2 y = 40 } \\ { 2 x + 20 - x = 40 } \end{array} \right.$$

Solve for x, y

$$x=20$$

$$y=0$$

Solution Steps

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

$$x+20=40$$

Subtract 20 from both sides.

$$x=40-20$$

Subtract 20 from 40 to get 20.

$$x=20$$

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

$$2\times 20+2y=40$$

Multiply 2 and 20 to get 40.

$$40+2y=40$$

Subtract 40 from both sides.

$$2y=40-40$$

Subtract 40 from 40 to get 0.

$$2y=0$$

Divide both sides by 2. Zero divided by any non-zero number gives zero.

$$y=0$$

The system is now solved.

$$x=20 y=0$$