Solve the simultaneous equations: 2x + y = 18 and x - y = 6

We need to find a value of x to sub into equation 1, so add y to both sides of equation 2: x = 6 + y. Then sub this into the x value of equation 1 and solve to find y: 2(6 + y) + y = 18. 12 + 2y + y = 18. 3y + 12 = 18. 3y = 6. y = 2. To find the x-value, sub in this value of y into equation 2 and solve: x - (2) = 6. x = 8.

AW
Answered by Anna W. Maths tutor

2624 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.


Factorise x^2+3x-4


Celine has £5 to buy pens and rubbers. Pens are 18p each. Rubbers are 30p each. She says “I will buy 15 pens. Then I will buy as many rubbers as possible. With my change I will buy more pens.” How many pens and how many rubbers does she buy? [5 marks]


How do I factorise quadratic 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