solve the simultaneous equation 2y + x = 8 and 1 + y = 2x

The aim of the question is to work out the values for x and y in order to make both equation correct. Therefore the best approach is to try to isolate one of the letters first. step 1. rearrange both equations so that Y becomes the subject of the equation. in the original equation 2y+x=8, you would get 2y=8-x and in the second equation 1+y=2x, you would get y=2x-1step 2. substitute y (the second equation) into the first equation to get 2(2x-1)=8-xstep 3. expand this equation to get 4x-2=8-xstep 4. work out this equation to find the value of x so 5x=10 and therefore x=2step 5. enter the value of x into the equation y=2x-1 to get y=2(2)-1 which gives you y=3Then enter both values into both of the original equations to see whether they are correct and give you the correct values.

DE
Answered by Dina E. Maths tutor

4963 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are a collection of CDs. There are 2 Rock CDs, x Pop CDs and 2x + 5 Jazz CDs. A CD is chosen at random, the probability that it is Rock is 1/20. Work out the probability it is Jazz.


Solve the simultaneous equations: 4x+5y = 38 , x-y = 5


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


How do you calculate a^5 x a^16 / a^4?


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:

© 2026 by IXL Learning