Question

How many solutions does the equation have?

p−2(4−3p)=2p+7
A.0
B.1
C. Infinitely many

Answer 1

p-8+6p=2p+7
7p-8=2p+7
5p=15
p=3
the answer is 1

Answer 2

option:B

Explanation:

We are given the equation
`p-2(4-3p)=2p+7`

if we will get a unique value of p on solving the equation then it will have '1' solution.

so on solving for the above equation we have:

`p-2*4-2*(-3p)=2p+7\\p-8+6p=2p+7\\7p-8=2p+7\\5p=15\\p=3`

Hence we get a unique value for 'p'.

so option B is correct.