Solve {l}{x/4+1=5/3}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{x}{4} + 1 = \frac{5}{3} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3x+12=20$$

Subtract 12 from both sides.

$$3x=20-12$$

Subtract 12 from 20 to get 8.

$$3x=8$$

Divide both sides by 3.

$$x=\frac{8}{3}$$

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

$$y=\frac{8}{3}$$

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

$$z=\frac{8}{3}$$

The system is now solved.

$$x=\frac{8}{3} y=\frac{8}{3} z=\frac{8}{3}$$