Question

Solve the equation:
6 10
---- = ----
p-1 p+4
A. p = 1
B. p = 0.5
C. p = 7
D. p = 8.5

Answer 1

6/(p - 1) = 10/(p + 4)
this is a proportion, so we can cross multiply
6(p + 4) = 10(p - 1) -- distribute
6p + 24 = 10p - 10 -- subtract 10p
6p - 10p + 24 = -10 -- subtract 24
6p - 10p = -10 - 24 -- combine like terms
-4p = - 34 -- divide by -4
p = -34/-4
p = 8.5