Question

If we have an equation given by 5m + 5 = 5 then, then find the value of m.

Answer 1

Hint: We will use the placing method with the help of which we will keep the required values to the either side of the equal sign. We will also use the statement which states that any number which itself results into 1. Also we will use the fact that any number which divides 0 results into 0 only.

Complete step-by-step answer:

We will first consider the equation 5m + 5 = 5.
Now we will take the constant 5 of the left side of the equation to the right side of the equation. Thus, we will get 5m = 5 – 5.
As we know that 5 – 5 = 0 therefore, we now have 5m = 0.
Now we will divide each side of the equation by 5. Thus we get $\dfrac{5m}{5}=\dfrac{0}{5}$.
As we know that any term that divides 0 will eventually result into 0 only. Also, any number divided by itself results into 1.
So, here we will get a new expression which is given by m = 0.
As we were supposed to find the value of m therefore, we have come to the desired result where the value of m = 0.

Note: We can directly find the value of m in equation 5m + 5 = 5 by just subtracting 5 from both the sides. By doing this we will get 5m + 5 – 5 = 5 – 5. This results into 5m = 0. By taking number 5 to the right side of the equation we directly get m = 0. One should take care while taking the numbers to the either side of the equal sign. If we are placing negative terms to either side of the equal sign then we will be converted into positive sign. We will do the same to the numbers carrying plus sign with them.