Q22. - Algebra 1

Question

Solve each equation.

$\frac{\mathbf{12}\mathbf{·}\mathbf{5}}{\mathbf{15}\mathbf{-}\mathbf{3}}\mathbf{=}\mathit{y}$

Step-by-Step Solution

Answer

The value of y is 5.

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.

$\frac{12·5}{15-3}=y$ Original equation

First, we work on the denominator, Subtract 3 from 15

$\Rightarrow \frac{12·5}{12}=y$

In the numerator, multiply 12 by 5.

$\Rightarrow \frac{60}{12}=y$

Divide 60 by 12.

$\Rightarrow 5=y$

Thus, the value of y is 5