Question

if p+pq is 4 times p-pq, which of the following has exactly one value? (pq does not = 0)

a)p
b)q
c)pq
d)p+pq
e)p-pq

Answer 1

a) p

Answer 2

how?

Answer 3

this is
p+pq=4(p-pq)
p+pq=4p-4pq
pq+4pq=4p-p
5pq=3p this cancels p
5q=3
q=3/5

Answer 4

so here p does not change

Answer 5

if p+pq=2(p-pq)
p+pq=2(p-pq) we can factor out p on both sides, gives
p(1+q)=2p(1-q) p cancels here
(1+q)=2(1-q)
(1+q)=2-2q
q+2q=2-1
3q=1
q=1/3 therfore q can change, p
+q can change, and p-q also change, except p

Answer 6

would that help you?

Answer 7

yea thanks