Question

How do you solve $ \dfrac{4}{5}m + 2 = 6? $

Answer 1

Hint: First of all take the given expression and take all the constants on one side and the variable on the opposite side and then will simplify the equation for the resultant required value for “m”.

Complete step by step solution:
Take the given expression: $ \dfrac{4}{5}m + 2 = 6 $
Move constant from the left hand side of the equation to the right hand side of the equation. When you move any term from one side to another then the sign of the term also changes. Positive term becomes negative term and vice versa.
 $ \dfrac{4}{5}m = 6 - 2 $
Simplify the above equation finding the difference on the right hand side of the equation.
 $ \dfrac{4}{5}m = 4 $
Do cross multiplication in the above expression where the denominator of one term is multiplied with the denominator of the opposite side and vice versa.
 $ m = 4 \times \dfrac{5}{4} $
Common factors from the numerator and the denominator cancels each other. Therefore, remove from the numerator and the denominator of the above expression.
 $ m = 5 $
This is the required solution.
So, the correct answer is “ $ n = - 2 $ ”.

Note: Be careful about the sign convention while moving any term from one side to another the sign of the term also changes. Positive term becomes negative term and the negative term becomes positive term.
While doing simplification remember the golden rules-
I.Addition of two positive terms gives the positive term
II.Addition of one negative and positive term, you have to do subtraction and give sign of bigger numbers whether positive or negative.
III.Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.