Solve the simultaneous equation. 2x + y = 7 and 3x - y = 8

There are few ways to carry out the following question. Elimination and substitution are the two main methods. To carry out elimination you will need to focus on the similar terms, in the question this would be y. As the signs of y are different in either equation you will add the terms. You should have a result of 5x=15. This can then be solved as x=3. Y can then be solved by substituting the value back into the equation to get y=1. The second way to carry out this method is through substitution. Rearrange one of the equations to make y the subject. for example y=7-2x. Then substitute this value for y into the other equation. You should get 3x-7+2x=8. solve this so that x=3. Then substitute this value back into the equation to get y=1.

CD
Answered by Charlotte D. Maths tutor

8768 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

N=2a+b, where a is a two-digit square number and b is a two-digit cube number. What is the smallest possible value of N?


How would you increase 400 by 7%


GCSE: How do you find the bearing of point B from A?


Expand the following brackets, (6x^2-4)(2x+3)


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