Solve the simultaneous equations 3x + y = –4 and 3x – 4y = 6

Rearrange first equation so we can eliminate one variable: y= - 4 -3x We can then plug this into the second equation so we get rid of the y's and just have x's: 3x-4(-3x-4)=6Simplify this: 3x + 12x+16=6 which gives 15x = -10 and then x=-10/15 = -2/3Can plug x back in to any equation to find out y, this gives: y = - 4 -3(-2/3)y= - 4 +2 so y= -2Final answer: x= -2/3 and y= -2

AC
Answered by Anushka C. Maths tutor

3352 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)


The mean mass of a squad of 19 hockey players is 82 kg A player of mass 93 kg joins the squad. Work out the mean mass of the squad now.


Solve 10x - 7 > 13x +2


What rules should I look out for when manipulating expressions?


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