Question

Evaluate each expression if $a=-2,b=-3,c=2$, $x=2.1,y=3$, and $z=-4.2$.

$\left|y-2z\right|-3$

Short answer

The expression$\left|y-2z\right|-3$ is equal to 8.4.

Step-by-step solution

Step-1. Define absolute value expression.

Absolute values define an upper and lower range in which a value must lie.

Step-2. Substitute the variables.

In order to evaluate the expression $\left|y-2z\right|-3$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and for z.

$\left|y-2z\right|-3=\left|3-2\times \left(-4.2\right)\right|-3$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$$\begin{gathered} \left|y-2z\right|-3=\left|3-2\times \left(-4.2\right)\right|-3 \\ =\left|3+8.4\right|-3 \\ =\left|11.4\right|-3 \\ =11.4-3 \\ =8.4 \end{gathered}$$

Therefore, the value expression is 8.4.