Respuesta :

Answer: p=2

Step-by-step explanation:

1: 2p+3=7

2: 2p=4(subtract 3 from both sides)

3: p=2(divide both sides by 2

kpnini909
Two solutions were found :

p=5
p=-2

Absolute Value Equation entered :

|2p-3|=7

Step by step solution :

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2p-3| = 7

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2p-3|

For the Negative case we'll use -(2p-3)

For the Positive case we'll use (2p-3)


Step 3 :

Solve the Negative Case

-(2p-3) = 7

Multiply
-2p+3 = 7

Rearrange and Add up
-2p = 4

Divide both sides by 2
-p = 2

Multiply both sides by (-1)
p = -2
Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(2p-3) = 7

Rearrange and Add up
2p = 10

Divide both sides by 2
p = 5

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

p=-2
p=5

Otras preguntas