Solve {l}{x=3}{y=x+6}{z=x-2}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { x = 3 }\\ { y = x + 6 }\\ { z = x - 2 }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a=9$$

$$b=1$$

Solution Steps

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

$$y=3+6$$

Add 3 and 6 to get 9.

$$y=9$$

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

$$z=3-2$$

Subtract 2 from 3 to get 1.

$$z=1$$

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

$$a=9$$

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

$$b=1$$

The system is now solved.

$$x=3 y=9 z=1 a=9 b=1$$