SOLUTION: What method do i have to use to solve this question? I'm really stuck. Find the values of h and p for which the simultaneous equations x+3y=h and 5x-(p-2)y=15 have infinitel

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What method do i have to use to solve this question? I'm really stuck. Find the values of h and p for which the simultaneous equations x+3y=h and 5x-(p-2)y=15 have infinitel      Log On


   

Question 1021368: What method do i have to use to solve this question?
I'm really stuck.

Find the values of h and p for which the simultaneous equations x+3y=h and 5x-(p-2)y=15 have infinitely many solutions.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
For the system to have infinitely many solutions, the ratios of the respective coefficients must be of the same proportion.
To this end, multiply the first equation by 5:
==> 5x + 15y = 5h
Then -(p-2) = 15 and 5h = 15
==> -p+2 = 15, or -p = 13 ==> highlight%28+p+=+-13%29.
also, highlight%28h+=+3%29