Question

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

$\left|-4y+2z\right|-7z$

Short answer

$\left|-4y+2z\right|-7z=109$

Step-by-step solution

Step 1. Given information.

$x=-4,y=7$and $z=-9$

And given expression is:$\left|-4y+2z\right|-7z$

Step 2. Description of step.

To solve the given expression

$\left|-4y+2z\right|-7z$

Put the value of y, and z in the expression, as

role="math" localid="1643121266689" $$\begin{gathered} \left|-4y+2z\right|-7z=\left|-4\left(7\right)+2\left(-9\right)\right|-7\left(-9\right) \\ =\left|-28-18\right|+63 \\ =\left|-46\right|+63 \\ =46+63 \\ =109 \end{gathered}$$

Thus, $\left|-4y+2z\right|-7z=109$.