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!

AW
Answered by Alex W. Maths tutor

3448 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

White paint costs £2.80 per litre. Blue Paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3:2 Work out the cost of 18 litres of the mixture.


Raya buys a van for £8500 plus VAT at 20%. Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio of the deposit Raya pays to the total of the 12 equal payments.


Make r the subject of the formula x = (3r - 4)/5


How do I expand brackets by multiplication?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning