Question

Solve the following equation: $ 10p + 10 = 100 $

Answer 1

Hint: First of all take the given expression, and move all the constants on the one side of the equation. When you move any term from one side of the equation to the opposite side then the sign of the term also changes. Then simplify the equation for the required value of “P”.

Complete step-by-step answer:
Take the given expression: $ 10p + 10 = 100 $
Move the constant term from the left hand side of the equation to the opposite side then the sign of the terms also changes. Positive term changes to the negative sign and vice-versa.
 $ 10p = 100 - 10 $
Simplify the above expression finding the difference of the terms on the right hand side of the equation.
 $ 10p = 90 $
Term multiplicative on one side, if moved to the opposite side then it goes to the denominator in the above expression.
 $ p = \dfrac{{90}}{{10}} $
Find factors for the terms in the above expression.
 $ p = \dfrac{{9 \times 10}}{{10}} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the above expression.
 $ \Rightarrow p = 9 $
This is the required solution.
So, the correct answer is “p = 9”.

Note: Always be careful about the sign convention. When you move any term from one side to another then the sign of the terms also changes. Positive term changes to the negative term and the negative term changes to the positive term. Be good in factorization and always remember that the common factors from the numerator and the denominator cancels each other.