Solve {l}{95=7500*44x/100*365}{y=1387}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 95 = \frac{7500 \cdot 44 x}{100 \cdot 365} }\\ { y = 1387 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=1387$$

Solution Steps

Consider the first equation. Cancel out 5\times 100 in both numerator and denominator.

$$95=\frac{15\times 44x}{73}$$

Multiply 15 and 44 to get 660.

$$95=\frac{660x}{73}$$

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

$$\frac{660x}{73}=95$$

Multiply both sides by 73.

$$660x=95\times 73$$

Multiply 95 and 73 to get 6935.

$$660x=6935$$

Divide both sides by 660.

$$x=\frac{6935}{660}$$

Reduce the fraction \frac{6935}{660} to lowest terms by extracting and canceling out 5.

$$x=\frac{1387}{132}$$

The system is now solved.

$$x=\frac{1387}{132} y=1387 z=1387$$