Solve {l}{7x=4}{y=x-3-0}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 7 x = 4 }\\ { y = x - 3 - 0 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = -\frac{17}{7} = -2\frac{3}{7} \approx -2.428571429$$

Solution Steps

Consider the first equation. Divide both sides by 7.

$$x=\frac{4}{7}$$

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

$$y=\frac{4}{7}-3-0$$

Subtract 3 from \frac{4}{7} to get -\frac{17}{7}.

$$y=-\frac{17}{7}-0$$

Subtract 0 from -\frac{17}{7} to get -\frac{17}{7}.

$$y=-\frac{17}{7}$$

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

$$z=-\frac{17}{7}$$

The system is now solved.

$$x=\frac{4}{7} y=-\frac{17}{7} z=-\frac{17}{7}$$