Solve the simultaneous equations: 2x - y = 1, 3x + y = 14

Make y the subject of equation 1:y = 2x - 1Substitute this value of y into equation 2:3x + (2x - 1) = 14Simplify:5x - 1 = 14Solve for x:x = 3Substitute this value of x into original equation:2(3) - y = 1Simplify and solve for y:6 - y = 1y = 6 - 1y = 5

SB
Answered by Stephen B. Maths tutor

4465 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: (1) x^2 + y^2=41 and (2) y=2x-3


The mean mass of a squad of 19 hockey players is 82 kg A player of mass 93 kg joins the squad. Work out the mean mass of the squad now.


There are 30 yellow sweets and 10 black sweets in a bag. Two sweets are taken out at random without replacement. Work out the probability that the two sweets are the same colour.


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.


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:

© 2026 by IXL Learning