Question

Solve the following equation, $\dfrac{x+5}{5}=6$.

Answer 1

Hint: We will first of all consider the equation given in the question. Then we will multiply by 5 on both sides of the equation. And after simplification, we will subtract 5 from each side to get the desired value of x.

Complete step-by-step answer:
In the given question, we have been asked to find the value of x by solving the given equation, $\dfrac{x+5}{5}=6$. To solve this question, let us first consider the equation that is given in the question,
$\dfrac{x+5}{5}=6$
We will multiply by 5 on both the sides of the above equation. So, we get,
$\dfrac{5\left( x+5 \right)}{5}=5\times 6$
We know that the like terms of the numerator and the denominator gets cancelled. So, by cancelling the like terms, we get,
$\left( x+5 \right)=5\times 6$
We can simplify this equation and get it as,
$x+5=30$
Now, we will subtract 5 from both sides of the above equation. So, we get the above equation as,
$x+5-5=30-5$
By cancelling the like terms, we get the above equation as,
$x=30-5$
By simplifying the above equation further, we finally get,
$x=25$
Hence, we get the value of x as 25, by solving the equation given in the question, that is, $\dfrac{x+5}{5}=6$.

Note: To solve such types of questions, the students must know the basic laws of transposition, that is, when one element is in division on one side of the equation, it goes in multiplication on the other side of the equation and vice versa. The same goes with subtraction and addition. Also, the students are advised to cross check their answer by substituting the value of x in the initial equation and checking if the LHS = RHS as follows,
The given equation is, $\dfrac{x+5}{5}=6$. So, by substituting the value of x = 25, we get,
$\dfrac{25+5}{5}=6\Rightarrow \dfrac{30}{5}=6\Rightarrow 6=6$
Since, we get LHS = RHS, the value of x = 25 satisfies the equation, so our answer is correct.