Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17

3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore, x = -2 Substitute x = -2 back into equation 1, so 3(-2) + 2y = 4 -6 + 2y = 4 2y = 10 Therefore y= 5 Final answer: x=-2, y=5

IG
Answered by Isabella G. Maths tutor

3426 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Emily bought 3 books and 2 apples, and she spent £19, while her brother, John, spent £15 on 1 book and 5 apples. What is the cost of one book and one apple?


How do you factorise?


Solve the equation 5(2c -3) = 19


f(x)=2x+c, g(x)=cx+5, fg(x)=6x+d; c and d are constants. Work out the value of d


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