Question

How many solutions does have?
1/2 ( 2p + 9 ) = -p + 5

Answer 1

Explanation:

P + 4.5 = - p + 5

Bringing like terms on one side

P + p = 5 - 4.5

2p = 0.5

p = 0.5/2 = 0.25

In my opinion the answer is one solution

Answer 2

1 solution.

Explanation:

1/2(2p + 9) = -p + 5

lets solve for p

1/2 * 2p + 1/2 * 9 = -p + 5

1p + p + 9/2 = - p + p + 5

2p + 9/2 = 5

Multiply by 2 on both sides to get rid of the fraction 9/2.

4p + 9 = 10

4p = 1

p = 1/4

Therefore, there is only 1 solution.

You can now check by plugging in 1/4 for p in the original equation.