Solve {l}{-17=2z-5}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { -17 = 2 z - 5 }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for z, a, b, c, d

$$d=-6$$

Solution Steps

Consider the first equation. Swap sides so that all variable terms are on the left hand side.

$$2z-5=-17$$

Add 5 to both sides.

$$2z=-17+5$$

Add -17 and 5 to get -12.

$$2z=-12$$

Divide both sides by 2.

$$z=\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$z=-6$$

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

$$a=-6$$

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

$$b=-6$$

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

$$c=-6$$

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

$$d=-6$$

The system is now solved.

$$z=-6 a=-6 b=-6 c=-6 d=-6$$