Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into equation 2: 6(2)-y=8 12-y=8 y=12-8 y=4 and check at the end to make sure!

Answered by Alex W. Maths tutor

3159 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I do the dot product with vectors?


Make x the subject of the formula 4(2x-y) = 3ax - 5


Sam is a bodybuilder. He currently weighs 90kg, but is aiming to be at 130kg in the next four months. Every month, he puts on 8% of his weight. Does he reach his target?


Solve the equation: (2x+3)/(x-4)-(2x-8)/(2x+1)=1


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