Question

Evaluate each expression if $x=-4,y=7,\text{\hspace{0.33em}and}z=-9$.

$\left|3x-2\right|+2y$

Short answer

$\left|3x-2\right|+2y=28$

Step-by-step solution

Step 1. Given information.

$x=-4,y=7,$and $z=-9$, and expression is:$\left|3x-2\right|+2y$

Step 2. Description of step.

To solve the given expression:

substitute the given value of x and y in the expression, as:

$$\begin{gathered} \left|3x-2\right|+2y=\left|3\left(-4\right)-2\right|+2\left(7\right) \\ =\left|-12-2\right|+14 \\ =\left|-14\right|+14 \\ =14+14 \\ =28 \end{gathered}$$

Thus, $\left|3x-2\right|+2y=28$