Question

Solve the equation and verify if your answer is correct $ x + 5 = 12 $

Answer 1

Hint: The given question deals with algebra of natural number. Here we have two numbers and one variable. The basic idea is to do algebraic additions and subtractions only. There is no use of multiplication or division here. We will use the basic principle of counting by fingers here.

Complete step-by-step answer:
The given equation in the question is $ x + 5 = 12 $
On subtracting $ 5 $ on both sides of the equation we get:
 $ \Rightarrow x + 5 - 5 = 12 - 5 $
Since, subtraction of same numbers gives us zero so, we have
 $ \Rightarrow x + 0 = 12 - 5 $
On subtracting $ 5 $ from $ 12 $ we get, $ 12 - 5 = 7 $ from the basic counting principle.
 $ \Rightarrow x + 0 = 7 $
The addition of any number with zero returns the number back. So,
 $ \Rightarrow x = 7 $
Therefore, the solution to the given algebraic equation is $ x = 7 $ .
Verification:
The given algebraic equation is $ x + 5 = 12 $
Let's put $ x = 7 $ in the given equation.
Now we have,
 $ \Rightarrow 7 + 5 = 12 $
From basic principle of counting we have $ 7 + 5 = 12 $
Thus, The given equation holds good for $ x = 7 $ .
The verification we did is correct for $ x = 7 $ .

Note: An alternative way of doing the same is by using the number line. First draw the number line then mark all the natural numbers till $ 12 $ on it. Put a circle on $ 5 $ and then mark another circle on $ 12 $ .Now we are given $ x + 5 = 12 $ so after $ 5 $ count the number of divisions you are requiring to reach $ 12 $ .It will be $ 7 $ . So, is the answer for the question . The discussed process is drawn in the number line here. The important part is marked in green color and the counting is also shown in bold numbers.