Solve {l}{x+y=5}{y=3}{z=x}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { x + y = 5 }\\ { y = 3 }\\ { z = x }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=2$$

Solution Steps

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

$$x+3=5$$

Subtract 3 from both sides.

$$x=5-3$$

Subtract 3 from 5 to get 2.

$$x=2$$

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

$$z=2$$

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

$$a=2$$

The system is now solved.

$$x=2 y=3 z=2 a=2$$