Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: x = 2substitute x = 2 into equation 1: 3(2) + 2y = 14subtract the 6 (3*2): 2y =8divide by 2: y=4

Answered by Megan F. Maths tutor

4579 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

y is proportional to x^2. When y is 75, x is 5. Find a formula for y in terms of x


Draw a graph of x = (y+4)/4.


Factorise 4x + 52


Which has greater area? A parallelogram with base length 10cm and perpendicular height 6cm, or a circle of diameter 8cm.


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