Solve {l}{x=-13/11}{y=2+3x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x = -\frac{13}{11} }\\ { y = 2 + 3 x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = -\frac{17}{11} = -1\frac{6}{11} \approx -1.545454545$$

Solution Steps

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

$$y=2+3\left(-\frac{13}{11}\right)$$

Multiply 3 and -\frac{13}{11} to get -\frac{39}{11}.

$$y=2-\frac{39}{11}$$

Subtract \frac{39}{11} from 2 to get -\frac{17}{11}.

$$y=-\frac{17}{11}$$

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

$$z=-\frac{17}{11}$$

The system is now solved.

$$x=-\frac{13}{11} y=-\frac{17}{11} z=-\frac{17}{11}$$