Solve the simultaneous equation: 2x + y = 18 and x−y=6

Check to see if the number in front (coefficient) of either the x's or y's is the same. In this case both the y's have the same coefficient so we do not need to make them the same.We are going to add the parts in the questions as the equations in front of y's are different (one is positive and the other is negative)2x + x = 3x and y +- y = 0 (as a + and - = -) and 18+6 = 24. Bringing it all together 3x = 24. Dividing by 3 gives x = 8.We now substitute 8 in for x in one of the equations. So 8-y=6. giving y to = 2 and x to 8.

Answered by Chelsea K. Maths tutor

4111 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you solve simultaneous equations?


For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.


GCSE Maths: Expand and simpify 14(3x-7y)-2x(21-y)


How can you solve an equation with unknowns in the denominators?


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