Question

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$and$z=-3$

43.$5x+2z$

Short answer

Expression $5x+2z$ results into $-4$

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Substitute given values

Substitute $0.4$for $x$, and $-3$for $z$into given expression

$5x+2z=5\left(0.4\right)+2\left(-3\right)$

- Simplify 50.4+2-3

To evaluate the value of the given expression, follow order of simplification

$\begin{array}{c}5\left(0.4\right)+2\left(-3\right)=2+\left(-6\right)\\ =-4\end{array}$

Thus, value of $5x+2z$is$-4$