Solve {l}{-1/2=3/8y}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { -\frac{1}{2} = \frac{3}{8} y }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for y, z, a

$$a = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Solution Steps

Consider the first equation. Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$-\frac{1}{2}\times \frac{8}{3}=y$$

Multiply -\frac{1}{2} and \frac{8}{3} to get -\frac{4}{3}.

$$-\frac{4}{3}=y$$

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

$$y=-\frac{4}{3}$$

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

$$z=-\frac{4}{3}$$

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

$$a=-\frac{4}{3}$$

The system is now solved.

$$y=-\frac{4}{3} z=-\frac{4}{3} a=-\frac{4}{3}$$