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

3284 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

(This was taken from a GCSE past paper)A bag of 24 spoons costs £19.95. A box of 18 forks costs £15.55. Bags and boxes cannot be split. Gregor decides to buy the same number of spoons as forks. He places an order to buy the smallest number of each


Aidan, Emily and Seth shared some sweets in the ratio 2 : 7: 4 Seth got 16 more sweets than Aidan. Work out the total number of sweets they shared.


In year 11, 3/7 of pupils go on holiday abroad in the summer break. Out of these, 1/3 go to France. Determine the ratio of pupils who go to France in summer to pupils who do not go to France in summer.


A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.


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