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

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

Solve for x, y, z, a, b

$$b=-13$$

Solution Steps

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

$$z=3\left(-3\right)-2\times 2$$

Do the multiplications.

$$z=-9-4$$

Subtract 4 from -9 to get -13.

$$z=-13$$

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

$$a=-13$$

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

$$b=-13$$

The system is now solved.

$$x=-3 y=2 z=-13 a=-13 b=-13$$