Question

How do you solve $ 42 = 7y $ ?

Answer 1

Hint: Take the given expression and then make the unknown “y” the subject and move all the other terms on one side of the equation and then simplify for the resultant required value for “y”.

Complete step by step solution:
Take the given expression: $ 42 = 7y $
The above equation can be re-written as: $ 7y = 42 $
The term multiplicative on one side if moved to the opposite side then it goes to the denominator.
 $ y = \dfrac{{42}}{7} $
Find the factors for the term in the numerator in the above expression.
 $ y = \dfrac{{7 \times 6}}{7} $
Common factors from the numerator and the denominator cancel each other. Therefore remove from the above expression.
 $ y = 6 $
This is the required answer.
So, the correct answer is “ $ y = 6 $ ”.

Note: Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which do not have any fixed value which are denoted by small alphabets such as x, y, z, a, b, etc. Be careful while moving any term from one side to another. Be careful about the sign convention. Always remember that term multiplicative on one side if moved to the opposite side then it goes to the denominator