Solve {l}{2310-8x=0}{y=x}{text{Solvefor}ztext{where}}{z=y}

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

Solve for x, y, z

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

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.

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

The system is now solved.

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