Solve this pair of simultaneous equations to find x and y

(1) 2x - 5y = 11(2) 3x + 2y = 7-----------------------Multiply equation (1) by 3 & Multiply equation (2) by 2 to give equal values for x:(3) 6x - 15y = 33(4) 6x + 4y = 14-----------------------Take equation (4) away from equation (3) in order to eliminate the x value:-15y - 4y = 33 - 14-19y = 19y = -1-----------------------Subsitute back in to equation (1) or (2) to find the value of x:(1) 2x - 5y = 11   2x - 5(-1) = 11   2x + 5 = 11   2x = 6   x = 3-----------------------Check!(2) 3x + 2y = 7   3(3) + 2(-1) = 7   9 + (-2) = 7   9 - 2 = 7

JB
Answered by James B. Maths tutor

4052 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 8p = 24


solve for x by completing the square x^2 + 4x - 12


Solve the simultaneous equations: 4x+5y = 38 , x-y = 5


n is an integer such that 3n + 2 < 14 and 6n/(n^2+5) > 1. Find all possible values of n.


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences