Solve (x+2)/3x + (x-2)/2x = 3

In order to solve this equation we need to rearrange it to have all of the variables on one side of the equals sign and the constants on the other. We do this by multiplying each term by the denominator of one of the fractions. First we multiply each term by 3x to obtain x + 2 + 3x(x-2)/2x = 9x. There is an x on the top and bottom of the fraction term so we can simplify further to get x + 2 + 3x/2 -3 = 9x which when we collect like terms becomes 13x/2 = -1. Dividing both sides by 13/2 gives the answer: x = -2/13

Answered by Annabel Y. Maths tutor

16363 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Nancy is driving and makes a wrong turn. The satnav indicates that her journey will take an extra 7 minutes. Nancy drives at an average speed of 60km/h to the nearest 5km/h. What's the greatest possible distance traveled in this detour in km to 2.d.p?


Find the nth term of the sequence 3,7,11,15...


Expand and simplify the following equation 5a(4b - 3) - 2a(6 + b)


Show that (2x^2 + x -15)/(2x^3 +6x^2) * 6x^3/(2x^2 - 11x + 15) simplifies to ax/(x + b) where a and b are integers


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences