Solve {l}{5x+5x=110}{2x+2y=60}

$$\left. \begin{array} { l } { 5 x + 5 x = 110 } \\ { 2 x + 2 y = 60 } \end{array} \right.$$

Solve for x, y

$$x=11$$

$$y=19$$

Solution Steps

Consider the first equation. Combine 5x and 5x to get 10x.

$$10x=110$$

Divide both sides by 10.

$$x=\frac{110}{10}$$

Divide 110 by 10 to get 11.

$$x=11$$

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

$$2\times 11+2y=60$$

Multiply 2 and 11 to get 22.

$$22+2y=60$$

Subtract 22 from both sides.

$$2y=60-22$$

Subtract 22 from 60 to get 38.

$$2y=38$$

Divide both sides by 2.

$$y=\frac{38}{2}$$

Divide 38 by 2 to get 19.

$$y=19$$

The system is now solved.

$$x=11 y=19$$