Question

Find \[x\], such that \[\dfrac{36}{x}=3\].

Answer 1

Hint: Apply the rules for solving equations and get to the final answer. You can also use hit and trial for finding out the answer.

Complete step by step solution:
Let’s understand some basic rules for solving the algebraic equations:
Our primary goal would be to isolate the part of the equation containing variables on one side of the equation. Variables are letters used to represent a number in an equation. It can be represented by any letter. We can isolate the variable by looking at what is being done to the variable and then do the opposite of that.
Remember, what we do on one side of the equation is supposed to be done on the other side of the equation so that our original equation does not get changed.
We can do all possible operations on equations like addition, subtraction, division, multiplication to get to the final answer.
Let’s apply the rules on the question, as we can see there is a variable called \[x\] on the left hand side of the equation, so to isolate this we can multiply both sides of the equation by \[x\] and the equation will look like
\[\begin{align}
  & \dfrac{36}{x}\times x=3\times x \\
 & 36=3\times x \\
\end{align}\]
The variable is still not isolated as it is in multiplication with \[3\]. So our last step would be to divide both sides of the equation by 3 and we will get the answer.
\[\begin{align}
  & \dfrac{36}{3}=\dfrac{3\times x}{3} \\
 & 12=x \\
\end{align}\]

Therefore, the value of \[x\] is \[12\].

Note:
The value of the variable which satisfies the equation is known as the solution of the equation. Here in the above question, \[12\] is the solution of this equation.