Solve {l}{1/3x=10*1/4}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{1}{3} x = 10 \cdot \frac{1}{4} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Solution Steps

Consider the first equation. Multiply 10 and \frac{1}{4} to get \frac{5}{2}.

$$\frac{1}{3}x=\frac{5}{2}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{5}{2}\times 3$$

Multiply \frac{5}{2} and 3 to get \frac{15}{2}.

$$x=\frac{15}{2}$$

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

$$y=\frac{15}{2}$$

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

$$z=\frac{15}{2}$$

The system is now solved.

$$x=\frac{15}{2} y=\frac{15}{2} z=\frac{15}{2}$$