Question

Solve the equation: $ 17+6p=9 $ .

Answer 1

Hint: To solve the given equation first we rearrange the terms. We will keep constant terms on one side and arrange the variable terms on the other side. Then we simplify the equation to get the desired answer.

Complete step by step answer:
We have been given an equation $ 17+6p=9 $
Now, to solve this equation first we rearrange the equation.
We can write the above equation as $ 6p+17=9 $
Now, we will shift the $ 17 $ to the right-hand side of the equation, we get
 $ \Rightarrow 6p=9-17 $
Now, subtract the 9 from 17 we get
 $ \Rightarrow 6p=-8 $
Now, divide the whole equation with 6 we get
 $ \Rightarrow p=\dfrac{-8}{6} $
Now, simplifying further we get
 $ \Rightarrow p=\dfrac{-4}{3} $

Note:
As it is a basic question please avoid any calculation mistakes. Also, avoid the common sign mistakes when shifting the terms and in the calculation. here one must observe that the RHS is 9 and the RHS is the sum of 17 and 6p. For the equation to hold true, the value of p must be negative such that a number, when deducted from 17, gives 9. So, once we get the value of p, we can check if it is negative or not.