Solve {l}{b=4/5}{x=2/9}{y=-3x+b}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { b = \frac{4}{5} }\\ { x = \frac{2}{9} }\\ { y = -3 x + b }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for b, x, y, z

$$z=\frac{2}{15}\approx 0.133333333$$

Solution Steps

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

$$y=-3\times \frac{2}{9}+\frac{4}{5}$$

Multiply -3 and \frac{2}{9} to get -\frac{2}{3}.

$$y=-\frac{2}{3}+\frac{4}{5}$$

Add -\frac{2}{3} and \frac{4}{5} to get \frac{2}{15}.

$$y=\frac{2}{15}$$

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

$$z=\frac{2}{15}$$

The system is now solved.

$$b=\frac{4}{5} x=\frac{2}{9} y=\frac{2}{15} z=\frac{2}{15}$$