Solve {l}{5745/75=x}{y=40*78+35*25}{z=y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { \frac{5745}{75} = x }\\ { y = 40 \cdot 78 + 35 \cdot 25 }\\ { z = y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

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

$$d=3995$$

Solution Steps

Consider the first equation. Reduce the fraction \frac{5745}{75} to lowest terms by extracting and canceling out 15.

$$\frac{383}{5}=x$$

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

$$x=\frac{383}{5}$$

Consider the second equation. Do the multiplications.

$$y=3120+875$$

Add 3120 and 875 to get 3995.

$$y=3995$$

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

$$z=3995$$

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

$$a=3995$$

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

$$b=3995$$

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

$$c=3995$$

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

$$d=3995$$

The system is now solved.

$$x=\frac{383}{5} y=3995 z=3995 a=3995 b=3995 c=3995 d=3995$$