Solve {l}{x=3}{y=2}{z=3x-4y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { x = 3 }\\ { y = 2 }\\ { z = 3 x - 4 y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

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

$$d=1$$

Solution Steps

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

$$z=3\times 3-4\times 2$$

Do the multiplications.

$$z=9-8$$

Subtract 8 from 9 to get 1.

$$z=1$$

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

$$a=1$$

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

$$b=1$$

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

$$c=1$$

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

$$d=1$$

The system is now solved.

$$x=3 y=2 z=1 a=1 b=1 c=1 d=1$$