Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one equations to make one of the unknowns the subject of the equations (This means that x or y will be after the equals sign alone, for example x-6=y). This would then be followed by substituting this into the other equations (the one you didnt use) to then give an equation with only one unknown.
Example Answer: taking (2) rearrange x-y=6 to equal x-6=y x-6 is the same as y, so rewrite equation 1 but write that instead of y 2x+y = 18 2x + x - 6 = 18 2x + x = 24 3x = 24 x= 8

SW
Answered by Samantha W. Maths tutor

4663 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

2 sides of a right-angled triangle are 5cm and 6cm. Calculate the length of the hypotenuse.


How do you expand (2x+9)^2?


Mark wants to borrow money to buy a car. His bank offers him a loan of £5,000 to be payed back over 3 years at 4% compound interest. a) Work out the interest acquired in the 2nd year. b) In total how much will Mark end up paying back the bank?


Solve the simultaneous equations: (1) 4x + y = 7 and (2) x - 3y = 5


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