solve (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 leave answer in fraction form

times both sides by both denominators

= (2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4)

times out brackets

= (4x2 + 8x +3) - (2x2 -16x +32) = 2x2 -7x -4

simplify

= 2x2 +24x -29 = 2x2 -7x -4 

bring x's to one side 

= 31x = 25

solve for x

x= 25/31

AH

Related Maths GCSE answers

All answers ▸

Raya buys a van for £8500 plus VAT at 20%.Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio (in simplest form) of the deposit Raya pays to the total of the 12 equal payments.


How do you expand brackets in a quadratic equation?


Solve the inequality 7x+3y-4 > 5y-19x for y in terms of x.


There are n sweets in a bag. Six of the sweets are orange, the rest are yellow. One sweet is removed from the bag without replacement, then another is removed without replacement. Show that n²-n-90=0