Question

How many solutions does the equation 8 - 2p = -p have?

1) No solution
2) One solution
3) Infinite solutions
4) Cannot be determined

Answer 1

By isolating the variable p in the equation 8 - 2p = -p, we find there is one solution, which is p = 8.

Step-by-step explanation:

To find out how many solutions the equation 8 - 2p = -p has, we can simplify it by adding p to both sides to isolate the variable p. This step reduces the number of unknowns in the equation, allowing us to solve for p.

By adding p to both sides, the equation becomes:

• 
  
• 8 - 2p + p = -p + p
• 
  
• 8 - p = 0
• 
  
• p = 8

Now, we have determined that p equals 8, meaning the equation has one solution.