Solve {l}{2x=60}{x+4y=140}

$$\left. \begin{array} { l } { 2 x = 60 } \\ { x + 4 y = 140 } \end{array} \right.$$

Solve for x, y

$$x=30$$

$$y = \frac{55}{2} = 27\frac{1}{2} = 27.5$$

Solution Steps

Consider the first equation. Divide both sides by 2.

$$x=\frac{60}{2}$$

Divide 60 by 2 to get 30.

$$x=30$$

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

$$30+4y=140$$

Subtract 30 from both sides.

$$4y=140-30$$

Subtract 30 from 140 to get 110.

$$4y=110$$

Divide both sides by 4.

$$y=\frac{110}{4}$$

Reduce the fraction \frac{110}{4} to lowest terms by extracting and canceling out 2.

$$y=\frac{55}{2}$$

The system is now solved.

$$x=30 y=\frac{55}{2}$$