Question

How do you solve $\dfrac{x-8}{3}=3$ ?

Answer 1

Hint: We can solve this question by simple linear equation, we can multiply by 3 in both LHS and RHS and then we can add 8 to both LHS and RHS to get the value of x .

Complete step by step answer:
The given equation in the question is $\dfrac{x-8}{3}=3$
We can multiply by 3 in both LHS and RHS so multiplying 3 in LHS and RHS we get
$\Rightarrow x-8=9$
Now we can add 8 to both sides to get the value of x , so adding 8 in LHS and RHS we get
$\Rightarrow x=17$
So the value of x is 17.

Note:
We can check whether our answer is correct or not by putting the value of x in the equation and check whether it satisfies the equation or not.
By putting x is equal to 17 in $\dfrac{x-8}{3}$ we get $\dfrac{17-8}{3}$ which is equal to 3 so the answer 17 is the correct answer.
We can solve the question by graphical method also first we will draw the graph of $y=\dfrac{x-8}{3}$ and then we will draw the graph of y=3 and then the point of intersection will be our solution, in this case intersection point will be (17,3).
It is a linear equation in 1 variable, so one equation is enough to find the unknown variable.
If there are 2 linear equations given for one unknown variable, then there may or may not exist any solution that can satisfy the 2 linear equations. Similarly when there are 3 unknowns then at least 3 equations are needed for the solution.