Question

How do you solve the equation 12y = 132?

Answer 1

Here in this question, we are given a linear equation in one variable. We have to find the variable ‘y’ in this equation. We will keep ‘y’ alone on one side of the equation in order to solve the like terms. Like terms are those which either have the same variables or they are constants. This is the simplest linear equation because it contains only a single variable.

Complete step by step answer:
Now, let’s discuss the entire question.
We all know that a linear equation is that equation in which the highest power of the variable is one. For example: In 2x + 3, ‘x’ has the power as one.
When we say linear equations in one variable, it means it contains only a single variable whose value needs to be found out. In this question also, we have to find the value of ‘y’ by taking 12 on the other side of the equation. After that, 132 will be divided by 12. In this way, we can find the value of ‘y’.
First, let’s write the equation from the question.
$\Rightarrow$12y = 132
To find the value of ‘y’, just take 12 on the other side of the equation. 12 is in the multiplication with ‘y’, after going to the other side of the equation, it will divide by 132.
$\Rightarrow$y = $\dfrac{132}{12}$
Let’s reduce the obtained fraction in simplest form. Divide by the lowest common factor i.e. 2, we will get:
$\Rightarrow$y = $\dfrac{66}{6}$
Again, reduce it. Cancel directly with 6 as 66 lies in the table of 6:
$\Rightarrow$y = 11
So, this is the final answer.

Note: There is an alternative method also to find the value of ‘y’. All you have to do is divide the whole equation by 12:
$\Rightarrow \dfrac{12y}{12}=\dfrac{132}{12}$
After this, reduce it the way it is done is done in the answer. You will find the same value of ‘y’ i.e. 11.