Solve {l}{2310-8x=0}{y=x}{z=y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { 2310 - 8 x = 0 }\\ { y = x }\\ { z = y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

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

$$d = \frac{1155}{4} = 288\frac{3}{4} = 288.75$$

Solution Steps

Consider the first equation. Subtract 2310 from both sides. Anything subtracted from zero gives its negation.

$$-8x=-2310$$

Divide both sides by -8.

$$x=\frac{-2310}{-8}$$

Reduce the fraction \frac{-2310}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{1155}{4}$$

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

$$y=\frac{1155}{4}$$

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

$$z=\frac{1155}{4}$$

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

$$a=\frac{1155}{4}$$

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

$$b=\frac{1155}{4}$$

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

$$c=\frac{1155}{4}$$

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

$$d=\frac{1155}{4}$$

The system is now solved.

$$x=\frac{1155}{4} y=\frac{1155}{4} z=\frac{1155}{4} a=\frac{1155}{4} b=\frac{1155}{4} c=\frac{1155}{4} d=\frac{1155}{4}$$