If p+pq is 4 Times p-pq, which of the following has exactly one value? Pq does not equal 0
A) p
B) q
C) pq
D) p+pq
E) p-pq
2 answers
I got A?
p+pq = 4(p-pq)
p(1+q) = 4p(1-q)
Since pq ≠ 0, then we can cancel out p on both sides.
=>
1+q=4(1-q)
Expand and solve for q
1+q=4-4q
5q=4-1=3
q=3/5
Check:
(1+q)=1+3/5=8/5
4(1-q)=4(1-3/5)=4(2/5)=8/5
Therefore the value of q is correct and unique.
p(1+q) = 4p(1-q)
Since pq ≠ 0, then we can cancel out p on both sides.
=>
1+q=4(1-q)
Expand and solve for q
1+q=4-4q
5q=4-1=3
q=3/5
Check:
(1+q)=1+3/5=8/5
4(1-q)=4(1-3/5)=4(2/5)=8/5
Therefore the value of q is correct and unique.
12 answers