Solve {l}{x=2/3y}{y=18}{z=2x-3}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { x = \frac{2}{3} y }\\ { y = 18 }\\ { z = 2 x - 3 }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=21$$

Solution Steps

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

$$x=\frac{2}{3}\times 18$$

Multiply \frac{2}{3} and 18 to get 12.

$$x=12$$

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

$$z=2\times 12-3$$

Multiply 2 and 12 to get 24.

$$z=24-3$$

Subtract 3 from 24 to get 21.

$$z=21$$

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

$$a=21$$

The system is now solved.

$$x=12 y=18 z=21 a=21$$