Question

How do you solve $\dfrac{1}{6}x=3$ ?

Answer 1

Hint: Let’s say a number is divided by x and the quotient is y , we can find the number by multiplying the quotient y with the divisor x. applying this logic we can find the value of x in the above question

Complete step by step answer:
The given equation which we have to solve is $\dfrac{1}{6}x=3$
 The number x is divided by 6 and we get the value of quotient is equal to 3
We can think as which number when we divide it by 6 we get the result equal to 3 so that must be product of 3 and 6 that is 18
18 divided by 6 is equal to 3
Direct way to solve the problem is to multiply 6 in both LHS and RHS , so multiplying 6 in both LHS and RHS we get
$\dfrac{1}{6}x\times 6=3\times 6$
Further solving we get
 x=18
so the solution of $\dfrac{1}{6}x=3$ is 18

Note:
We can solve this question by graph. At first we will draw the graph of $y=\dfrac{1}{6}x$ and then we will draw the graph of $y=3$ , the point of intersection between these two graphs will be our solution . Actually the x coordinate of the point of intersection is the solution of $\dfrac{1}{6}x=3$ because we need the value of x.
So let’s draw the graph of $y=\dfrac{1}{6}x$ and $y=3$

We can see the point of intersection of $y=\dfrac{1}{6}x$ and $y=3$ is point A(18,3).
So the solution to $\dfrac{1}{6}x=3$ is 18