Q47. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

Step 1 - 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.

Step 2 - Substitute given values

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

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

Step 3 - Simplify 2 - 3 - 15 0 . 4 3 1 2

• 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  $-8$