Solve {l}{x+x/2+x/2=180}{y=1*3*2-6}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x + \frac{x}{2} + \frac{x}{2} = 180 }\\ { y = 1 \cdot 3 \cdot 2 - 6 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=0$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 2.

$$2x+x+x=360$$

Combine 2x and x to get 3x.

$$3x+x=360$$

Combine 3x and x to get 4x.

$$4x=360$$

Divide both sides by 4.

$$x=\frac{360}{4}$$

Divide 360 by 4 to get 90.

$$x=90$$

Consider the second equation. Multiply 1 and 3 to get 3.

$$y=3\times 2-6$$

Multiply 3 and 2 to get 6.

$$y=6-6$$

Subtract 6 from 6 to get 0.

$$y=0$$

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

$$z=0$$

The system is now solved.

$$x=90 y=0 z=0$$