Solve {l}{210*x=300}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 210 \cdot x = 300 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{10}{7} = 1\frac{3}{7} \approx 1.428571429$$

Solution Steps

Consider the first equation. Divide both sides by 210.

$$x=\frac{300}{210}$$

Reduce the fraction \frac{300}{210} to lowest terms by extracting and canceling out 30.

$$x=\frac{10}{7}$$

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

$$y=\frac{10}{7}$$

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

$$z=\frac{10}{7}$$

The system is now solved.

$$x=\frac{10}{7} y=\frac{10}{7} z=\frac{10}{7}$$