Question #b55d3

2 Answers
May 29, 2017

Answer:

#2p/q=-3p/q^2+5/q-1#

Explanation:

Write as:#" "2p=-3q/p-q+5#

To 'force' the left hand side into the target format divide both sides by q.

#2p/q=-3p/q^2-1+5/q#

Write as:

#2p/q=-3p/q^2+5/q-1#

May 29, 2017

Answer:

Assuming #p,q!=0#, I got #color(red)(2p/q=(4p^2/q+2p+6)/5)#

Explanation:

Given
#color(white)("XXX")2p+3q/p+q=5#

Multiplying both sides by #color(blue)(p/q)#
#color(white)("XXX")2p * color(blue)(p/q) +3q/p * color(blue)(p/q) + q * color(blue)(p/q) = 5 * color(blue)(p/q)#

#color(white)("XXX")2p^2/q+3+p=5p/q#

Multiplying both sides by #color(green)(2/5)#
#color(white)("XXX")2p^2/q * color(green)(2/5)+3 * color(green)(2/5) +p * color(green)(2/5) = 5p/q * color(green)(2/5)#

#color(white)("XXX")(4p^2/q+6+2p)/5=2p/q#

#color(white)("XXX")2p/q=(4p^2/q+2p+6)/5#