Solve {l}{4*y=2}{z=4y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 4 \cdot y = 2 }\\ { z = 4 y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for y, z, a

$$a=2$$

Solution Steps

Consider the first equation. Divide both sides by 4.

$$y=\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{2}$$

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

$$z=4\times \frac{1}{2}$$

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

$$z=2$$

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

$$a=2$$

The system is now solved.

$$y=\frac{1}{2} z=2 a=2$$