Solve {l}{500={(x-375)}}{y=0.75-240}{z=0.75-240}{a=750}{text{Solvefor}b,c,dtext{where}}{b=y}{c=z}{d=a}

$$\left. \begin{array} { l } { 500 = {(x - 375)} }\\ { y = 0.75 - 240 }\\ { z = 0.75 - 240 }\\ { a = 750 }\\ { \text{Solve for } b,c,d \text{ where} } \\ { b = y }\\ { c = z }\\ { d = a } \end{array} \right.$$

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

$$b=-239.25$$

$$c=-239.25$$

$$d=750$$

Solution Steps

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

$$x-375=500$$

Add 375 to both sides.

$$x=500+375$$

Add 500 and 375 to get 875.

$$x=875$$

Consider the second equation. Subtract 240 from 0.75 to get -239.25.

$$y=-239.25$$

Consider the third equation. Subtract 240 from 0.75 to get -239.25.

$$z=-239.25$$

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

$$b=-239.25$$

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

$$c=-239.25$$

The system is now solved.

$$x=875 y=-239.25 z=-239.25 a=750 b=-239.25 c=-239.25 d=750$$