Question

How do you solve $\dfrac{y}{9}+5=0$ ?

Answer 1

Hint: In this question, we have to find the value of y. The equation given to us is in the form of linear, thus consists of only one variable. So, to start solving this problem, we first subtract 5 on both sides of the equation, and then we make the necessary calculations. After that, we multiply both sides of the equation by 9, and then on further solving get the value of y, which is our required answer.

Complete step by step answer:
According to the question, it is given a linear equation $\dfrac{y}{9}+5=0$ --------- (1)
Since we have to find the value of y, thus
First, we will subtract 5 on both sides in equation (1), we get
$\Rightarrow \dfrac{y}{9}+5-5=0-5$
As we know, the same terms with opposite signs cancel out each other, therefore in the LHS we will cancel out 5 and -5, thus we get
$\Rightarrow \dfrac{y}{9}=-5$
Now, we will multiply both sides of the equation by 9, we get
$\Rightarrow \dfrac{y}{9}.(9)=-5.(9)$
On further solving, we get
$\Rightarrow y=-5.(9)$
Thus, on the right-hand side of the above equation, we will multiply both the terms, we get
$\Rightarrow y=-45$
Therefore, for the equation $\dfrac{y}{9}+5=0$, the value of y is $-45$ , which is our required answer.

Note:
Do all calculations carefully to avoid calculation errors. One of the alternative methods to solve this problem is first we will multiply both sides of the equation by 9 and then apply the BODMAS rule, and make necessary calculations. In the last, we will subtract 45 on both sides of the equation and get the value of y, which is our required answer.
An alternative method: $\dfrac{y}{9}+5=0$ ------- (2)
Now, multiply both sides of the equation (2) by 9, we get
$\Rightarrow \left( \dfrac{y}{9}+5 \right).(9)=0.(9)$
Now, we will apply the BODMAS rule in the LHS of the above equation, and in RHS, we know that any terms multiply by 0, get 0, therefore we get
$\Rightarrow \left( \dfrac{y}{9}.(9)+5.(9) \right)=0$
Now, on further solving, we get
$\Rightarrow y+45=0$
In the last, we will subtract 45 in the above equation, we get
$\Rightarrow y+45-45=0-45$
As we know, the same terms with opposite signs cancel out each other, thus we get
$\Rightarrow y=-45$ which is our required answer.