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

7756 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 300 students at a school who have been asked to attend assembly. 1/10 students are sat on chairs, 85% of students are sat on the floor, the rest do not attend assembly. How many students did not attend assembly?


Find the equation of the line that passes through ( 5 , -4 ) and (3,8).


Dipen and Nisha are planning a wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct?


Differentiate y = x^2 + 3x + 5


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences