Question

How do you solve $ 7 = 3 + \dfrac{h}{6} $ ?

Answer 1

Hint: In order to determine the value of variable $ h $ in the above equation. Use the rules of transposing terms to transpose terms having $ (h) $ on the right-hand side and constant value terms on the left-Hand side of the equation. Combine and solve like terms and multiply the equation with the denominator of $ h $ to get your desired solution.

Complete step-by-step answer:
We are given a linear equation in one variable $ 7 = 3 + \dfrac{h}{6} $ .and we have to solve this equation for variable ( $ h $ ).
 $ \Rightarrow 7 = 3 + \dfrac{h}{6} $
Now combining like terms on both of the sides. Terms having $ h $ will on the right-Hand side of the equation and constant terms on the left-hand side.
Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term get reversed .In our case, $ 3 $ on the right-hand side will become $ - 3 $ on the left-hand side .
After transposing terms our equation becomes
 $
   \Rightarrow 7 - 3 = \dfrac{h}{6} \\
   \Rightarrow 4 = \dfrac{h}{6} \\
   \Rightarrow \dfrac{h}{6} = 4 \;
  $
Multiplying both sides of the equation with the number $ 6 $ ,we get
 $
   \Rightarrow 6 \times \dfrac{h}{6} = 6 \times 4 \\
   \Rightarrow h = 24 \;
  $
Therefore, the solution to the equation $ 7 = 3 + \dfrac{h}{6} $ is equal to $ h = 24 $ .
So, the correct answer is “ $ h = 24 $ ”.

Note: 1. One must be careful while calculating the answer as calculation error may come.
2.There is only one value of $ h $ which is the solution to the equation and if we put this $ h $ in the equation, the equation will be zero.
3.Like terms are the terms who have the same variable and power.