Solve {l}{315=1,152x+0,408y}{x/4=24}

$$\left. \begin{array} { l } { 315 = 1,152 x + 0,408 y } \\ { \frac { x } { 4 } = 24 } \end{array} \right.$$

Solve for x, y

$$x=96$$

$$y=501$$

Solution Steps

Consider the second equation. Multiply both sides by 4.

$$x=24\times 4$$

Multiply 24 and 4 to get 96.

$$x=96$$

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

$$315=1,152\times 96+0,408y$$

Multiply 1,152 and 96 to get 110,592.

$$315=110,592+0,408y$$

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

$$110,592+0,408y=315$$

Subtract 110,592 from both sides.

$$0,408y=315-110,592$$

Subtract 110,592 from 315 to get 204,408.

$$0,408y=204,408$$

Divide both sides by 0,408.

$$y=\frac{204,408}{0,408}$$

Expand \frac{204,408}{0,408} by multiplying both numerator and the denominator by 1000.

$$y=\frac{204408}{408}$$

Divide 204408 by 408 to get 501.

$$y=501$$

The system is now solved.

$$x=96 y=501$$