Solve {l}{5=18/x+2}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 = \frac{18}{x + 2} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Solution Steps

Consider the first equation. Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$5\left(x+2\right)=18$$

Use the distributive property to multiply 5 by x+2.

$$5x+10=18$$

Subtract 10 from both sides.

$$5x=18-10$$

Subtract 10 from 18 to get 8.

$$5x=8$$

Divide both sides by 5.

$$x=\frac{8}{5}$$

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

$$y=\frac{8}{5}$$

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

$$z=\frac{8}{5}$$

The system is now solved.

$$x=\frac{8}{5} y=\frac{8}{5} z=\frac{8}{5}$$