Solve {l}{20=x+3/2}{5y-10x=15}

$$\left. \begin{array} { l } { 20 = x + \frac { 3 } { 2 } } \\ { 5 y - 10 x = 15 } \end{array} \right.$$

Solve for x, y

$$x = \frac{37}{2} = 18\frac{1}{2} = 18.5$$

$$y=40$$

Solution Steps

Consider the first equation. Swap sides so that all variable terms are on the left hand side.

$$x+\frac{3}{2}=20$$

Subtract \frac{3}{2} from both sides.

$$x=20-\frac{3}{2}$$

Subtract \frac{3}{2} from 20 to get \frac{37}{2}.

$$x=\frac{37}{2}$$

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

$$5y-10\times \frac{37}{2}=15$$

Multiply -10 and \frac{37}{2} to get -185.

$$5y-185=15$$

Add 185 to both sides.

$$5y=15+185$$

Add 15 and 185 to get 200.

$$5y=200$$

Divide both sides by 5.

$$y=\frac{200}{5}$$

Divide 200 by 5 to get 40.

$$y=40$$

The system is now solved.

$$x=\frac{37}{2} y=40$$