Solve {l}{34*1/x=170}{y=5}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{34 \cdot 1}{x} = 170 }\\ { y = 5 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=5$$

Solution Steps

Consider the first equation. Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$34\times 1=170x$$

Multiply 34 and 1 to get 34.

$$34=170x$$

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

$$170x=34$$

Divide both sides by 170.

$$x=\frac{34}{170}$$

Reduce the fraction \frac{34}{170} to lowest terms by extracting and canceling out 34.

$$x=\frac{1}{5}$$

The system is now solved.

$$x=\frac{1}{5} y=5 z=5$$