Solve {l}{-5x+13=-17}{y=-13-13}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { -5 x + 13 = -17 }\\ { y = -13 - 13 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=-26$$

Solution Steps

Consider the first equation. Subtract 13 from both sides.

$$-5x=-17-13$$

Subtract 13 from -17 to get -30.

$$-5x=-30$$

Divide both sides by -5.

$$x=\frac{-30}{-5}$$

Divide -30 by -5 to get 6.

$$x=6$$

Consider the second equation. Subtract 13 from -13 to get -26.

$$y=-26$$

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

$$z=-26$$

The system is now solved.

$$x=6 y=-26 z=-26$$