SOLUTION: If (2p, 5p-4) is a solution of the equation y=5x+16, find the value of p.

Algebra ->  Equations -> SOLUTION: If (2p, 5p-4) is a solution of the equation y=5x+16, find the value of p.      Log On


   

Question 375689: If (2p, 5p-4) is a solution of the equation y=5x+16, find the value of p.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since (2p, 5p-4) is a solution, this means that x=2p and y=5p-4


y=5x%2B16 Start with the given equation.


5p-4=5%282p%29%2B16 Plug in x=2p and y=5p-4


5p-4=10p%2B16 Multiply


5p=10p%2B16%2B4 Add 4 to both sides.


5p-10p=16%2B4 Subtract 10p from both sides.


-5p=16%2B4 Combine like terms on the left side.


-5p=20 Combine like terms on the right side.


p=%2820%29%2F%28-5%29 Divide both sides by -5 to isolate p.


p=-4 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is p=-4


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim