Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of the y component and we can solve for x. Now we have that 3x=24. we can divide through by 3, getting x=24/3=8. now we can substitute that into (1) getting that 2(8)+y=18, hence we get that y=18-16=2. we can double check these by subbing the values into (2) and checking they hold.

RR
Answered by Ruby R. Maths tutor

3992 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If there are 20 marbles in a bag and 1/5 are red, what fraction are red if 1 more red marble is added?


There are 16 hockey teams in a league. Each team played two matches against each of the other teams. Work out the total number of matches played.


Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.


How do you solve algebraic equations?


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