Solve {l}{{(x*{(-5)})}+{(-75)}=115}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { {(x \cdot {(-5)})} + {(-75)} = 115 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=-38$$

Solution Steps

Consider the first equation. Add 75 to both sides.

$$x\left(-5\right)=115+75$$

Add 115 and 75 to get 190.

$$x\left(-5\right)=190$$

Divide both sides by -5.

$$x=\frac{190}{-5}$$

Divide 190 by -5 to get -38.

$$x=-38$$

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

$$y=-38$$

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

$$z=-38$$

The system is now solved.

$$x=-38 y=-38 z=-38$$