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

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

Solve for x, y, z, a, b, c, d

$$d=-13$$

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.

$$b=-13$$

Consider the equation (6). Insert the known values of variables into the equation.

$$c=-13$$

Consider the equation (7). Insert the known values of variables into the equation.

$$d=-13$$

The system is now solved.

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