Solve {l}{x=1/2}{y=1}{z=2x+2y}{text{Solvefor}atext{where}}{a=z}

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

Solve for x, y, z, a

$$a=3$$

Solution Steps

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

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

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

$$z=1+2\times 1$$

Multiply 2 and 1 to get 2.

$$z=1+2$$

Add 1 and 2 to get 3.

$$z=3$$

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

$$a=3$$

The system is now solved.

$$x=\frac{1}{2} y=1 z=3 a=3$$