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 ▸

Solve x^2 - 7x + 10 = 0


There are 5 blue counters and 5 red. x takes 2 counters out of the bag without replacing them. What is the probability x took 2 red counters.


Explain why the points (0,8) do not lie on the line y= 4x+9 ? (3 marks)


There are 892 litres of oil in Mr Aston’s oil tank. He uses 18.7 litres of oil each day. Estimate the number of days it will take him to use all the oil in the tank.