Solve {l}{159.20x-5x+8=-5x}{y=0.00}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 159.20 x - 5 x + 8 = -5 x }\\ { y = 0.00 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=0$$

Solution Steps

Consider the first equation. Combine 159.2x and -5x to get 154.2x.

$$154.2x+8=-5x$$

Add 5x to both sides.

$$154.2x+8+5x=0$$

Combine 154.2x and 5x to get 159.2x.

$$159.2x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$159.2x=-8$$

Divide both sides by 159.2.

$$x=\frac{-8}{159.2}$$

Expand \frac{-8}{159.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-80}{1592}$$

Reduce the fraction \frac{-80}{1592} to lowest terms by extracting and canceling out 8.

$$x=-\frac{10}{199}$$

The system is now solved.

$$x=-\frac{10}{199} y=0 z=0$$