Solve {l}{(73x+2y)37=18}{15x=12}

$$\left. \begin{array}{l}{ ( 73 x + 2 y ) 37 = 18 }\\{ 15 x = 12 }\end{array} \right.$$

Solve for x, y

$$x=\frac{4}{5}=0.8$$

$$y = -\frac{5357}{185} = -28\frac{177}{185} \approx -28.956756757$$

Solution Steps

Consider the second equation. Divide both sides by 15.

$$x=\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{4}{5}$$

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

$$\left(73\times \frac{4}{5}+2y\right)\times 37=18$$

Divide both sides by 37.

$$73\times \frac{4}{5}+2y=\frac{18}{37}$$

Multiply 73 and \frac{4}{5} to get \frac{292}{5}.

$$\frac{292}{5}+2y=\frac{18}{37}$$

Subtract \frac{292}{5} from both sides.

$$2y=\frac{18}{37}-\frac{292}{5}$$

Subtract \frac{292}{5} from \frac{18}{37} to get -\frac{10714}{185}.

$$2y=-\frac{10714}{185}$$

Divide both sides by 2.

$$y=\frac{-\frac{10714}{185}}{2}$$

Express \frac{-\frac{10714}{185}}{2} as a single fraction.

$$y=\frac{-10714}{185\times 2}$$

Multiply 185 and 2 to get 370.

$$y=\frac{-10714}{370}$$

Reduce the fraction \frac{-10714}{370} to lowest terms by extracting and canceling out 2.

$$y=-\frac{5357}{185}$$

The system is now solved.

$$x=\frac{4}{5} y=-\frac{5357}{185}$$