Q20. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{a}{12}=5$

Step-by-Step Solution

Answer

The solution of the equation is $a=60$.

Step-1. Apply the concept of multiplication and division of equality.

An equation is an expression containing two quantities separated by a = symbol.

Finding solution to an equation involves separating the variable on one side of the equation and numbers on the other side.

We can multiply or divide by same quantities on both sides of the equation for separating the variable on one side of the equation and the numbers on the other side.

We are given the equation $\frac{a}{12}=5$, we multiply $12$ to both sides of the equation as shown:

$\frac{a}{12}\times 12=5\times 12$

Step-2. Simplify the expression.

We multiplied$12$ to both sides of the equation and obtained:

$\frac{a}{12}\times 12=5\times 12$

Next we simplify the expression as shown:

$\begin{array}{l}\frac{a}{12}\times 12=5\times 12\\ a=5\times 12\end{array}$

Step-3. Write the solution.

$\begin{array}{l}a=5\times 12\\ a=60\end{array}$

Thus, the solution of the equation is $a=60$.

Step-4. Checking the solution.

We substitute the value of the variable into the given equation:

$\begin{array}{l}\frac{a}{12}=5\\ \frac{60}{12}=5\\ 5=5\end{array}$

Since the above equation is satisfied, the solution $a=60$ is verified.