Question

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

$\frac{2z-15x}{3y}$

Short answer

Expression $\frac{2z-15x}{3y}$ results into $-8$

Step-by-step solution

- Order of 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 $\frac{1}{2}$for $y$, $-3$for $z$and $0.4$for$x$ into given expression

$\frac{2z-15x}{3y}=\frac{2\left(-3\right)-15\left(0.4\right)}{3\left(\frac{1}{2}\right)}$

- Simplify 2-3-150.4312

• First multiply 2 with $-3$and 15 with $0.4$then subtract two terms of numerator.
• Multiply 3 with $y$
• Finally divide resulting numerator term with denominator
  $\begin{array}{c}\frac{2\left(-3\right)-15\left(0.4\right)}{3\left(\frac{1}{2}\right)}=\frac{-6-6}{\frac{3}{2}}\\ =-\frac{12\times 2}{3}\\ =-8\end{array}$
  Thus, value of $\frac{2z-15x}{3y}$is $-8$