Solve {l}{30/100x=78}{y=x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { \frac{30}{100} x = 78 }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for x, y, z, a

$$a=260$$

Solution Steps

Consider the first equation. Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}x=78$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=78\times \frac{10}{3}$$

Multiply 78 and \frac{10}{3} to get 260.

$$x=260$$

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

$$y=260$$

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

$$z=260$$

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

$$a=260$$

The system is now solved.

$$x=260 y=260 z=260 a=260$$