Solve {l}{x/12=12/5}{y=x}{z={(5)}}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { \frac{x}{12} = \frac{12}{5} }\\ { y = x }\\ { z = {(5)} }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a = \frac{144}{5} = 28\frac{4}{5} = 28.8$$

$$b=5$$

Solution Steps

Consider the first equation. Multiply both sides by 12.

$$x=\frac{12}{5}\times 12$$

Multiply \frac{12}{5} and 12 to get \frac{144}{5}.

$$x=\frac{144}{5}$$

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

$$y=\frac{144}{5}$$

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

$$a=\frac{144}{5}$$

The system is now solved.

$$x=\frac{144}{5} y=\frac{144}{5} z=5 a=\frac{144}{5} b=5$$