How do you solve an equation like: 5/(x+2) + 3/(x-3) = 2?
- Multiply every term by a denominator to eliminate it;5 + 3(x+2)/(x-3) = 2(x+2)5 + 3x+6/(x-3) = 2x+45(x-3) + 3x+6= (2x+4)(x-3)2) simplify5x-15+3x+6=2x2-12+4x-6x8x-9=2x2-12-2x2x2-10x-3=03) use the equation to solve for x
tips:remember to multiply both sides of the '=' sign by a denominatortake your time and make note of the minus sign when collecting 'like' terms
TH
Related Maths GCSE answers
All answers ▸Solve this pair of simultaneous equations: 3x + 2y = 4 and 2x + y = 3
The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a
A t-shirt is in two shops, both of which has it on sale. In shop A, the t-shirt originally cost £15, but has been reduced by 30%. In shop B, it used to cost £17 and has been reduced by 40%. In which shop is the t-shirt now cheaper, and by how much?
Given: 𝑓(𝑥) = 𝑎𝑥^3 + 𝑏𝑥^2 − 3 and 𝑓"(−2) = 0. If it is further given that the point (−3; 6) lies on the graph of 𝑓. Show that 𝑎 = 1/3 and 𝑏 = 2.