Solve {l}{text{throughthepoints}(-1,2,}{text{andparalleltotheline}}{x-1/1=2y+1/2=z+1/-1}

$$\left. \begin{array} { l } { \text { through the points } ( - 1,2 , } \\ { \text { and parallel to the line } } \\ { \frac { x - 1 } { 1 } = \frac { 2 y + 1 } { 2 } = \frac { z + 1 } { - 1 } } \end{array} \right.$$

Solve for z

$$z=-3$$

Steps for Solving Linear Equation

Multiply both sides by -1.

$$2\left(-1\right)=z+1$$

Multiply 2 and -1 to get -2.

$$-2=z+1$$

Swap sides so that all variable terms are on the left hand side.

$$z+1=-2$$

Subtract 1 from both sides.

$$z=-2-1$$

Subtract 1 from -2 to get -3.

$$z=-3$$