Question

Solve each equation.

$\mathit{r}\mathbf{=}\frac{\mathbf{9}\mathbf{\left(}\mathbf{6}\mathbf{\right)}}{\mathbf{(}\mathbf{8}\mathbf{+}\mathbf{1}\mathbf{)}\mathbf{3}}$

Short answer

The value of r is 2.

Step-by-step solution

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side.

Step 2. Order of Operations.

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

Step 3. Simplifying ratio.

$r=\frac{9\left(6\right)}{(8+1)3}$Original equation

First, we work on the denominator, add 8 and 1

$\Rightarrow r=\frac{9\left(6\right)}{\left(9\right)3}$

Multiply 9 by 6 in numerator and 9 by 3 in the denominator.

$\Rightarrow r=\frac{54}{27}$

Divide 54 by 27.

localid="1645184215286" $\Rightarrow r=2$

Thus, the value of r is 2.