Solve x/(x-7) + 6/(x+4) = 1

Observe neither x=7 or x=(-4) are solutionsMultiply through by (x-7), x + 6(x-7)/(x+4) = (x-7)Subtract x, 6(x-7)/(x+4) = -7Multiply through by (x+4), 6(x-7) = -7(x+4)Therefore, 6x - 42 = -7x - 28Rearrange to, 13x = 14Divide by 13, x = 14/13(If possible, check solution in initial equation)


LD
Answered by Lewis D. Maths tutor

2306 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand (2x-3)(4x+4) using the FOIL method.


A rectangle has length 3x+6 and width 2x-5. The perimeter of the rectangle is 22cm. What is the value of x?


How do I make x the subject of the formula?


How do I rearrange and make y the subject in equations such as "(y/4) - X = 1"?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences