Solve {l}{5x+9x=60}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 x + 9 x = 60 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Solution Steps

Consider the first equation. Combine 5x and 9x to get 14x.

$$14x=60$$

Divide both sides by 14.

$$x=\frac{60}{14}$$

Reduce the fraction \frac{60}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{30}{7}$$

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

$$y=\frac{30}{7}$$

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

$$z=\frac{30}{7}$$

The system is now solved.

$$x=\frac{30}{7} y=\frac{30}{7} z=\frac{30}{7}$$