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.

Answered by Charlotte D. Maths tutor

8283 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A truck travels 110 miles in 2 hours. What is the average speed of the truck?


Thomas wants to see how far he can throw a javelin. He records four of his throws as 45 metres, 40 metres, 55 metres, and x metres. Given that the mean of Thomas' throws is 50, determine the value of x.


What is 17 multiplied by 120?


Solve these simultaneously to find values for a and b: 6a + b = 16 and 5a - 2b = 19


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