Solve {l}{x/5=7/12}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{x}{5} = \frac{7}{12} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{35}{12} = 2\frac{11}{12} \approx 2.916666667$$

Solution Steps

Consider the first equation. Multiply both sides by 5.

$$x=\frac{7}{12}\times 5$$

Multiply \frac{7}{12} and 5 to get \frac{35}{12}.

$$x=\frac{35}{12}$$

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

$$y=\frac{35}{12}$$

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

$$z=\frac{35}{12}$$

The system is now solved.

$$x=\frac{35}{12} y=\frac{35}{12} z=\frac{35}{12}$$