Solve the simultaneous equations: 2x+2y = 10 and 7x + 4y = 26

The first step with any simultaneous equation is to cancel out one of the variables. Here, 2y is a factor of 4y (it fits into 4y twice) so we can multiply the 1st equation by 2 to give us 4x+4y = 20.This gives us 4x + 4y = 20 and 7x + 4y = 26. We can now subtract the 1st equation from the second ( do it this way round to avoid negative numbers). This gives us 3x= 6. now we can find x. divide both sides by 3 to give x=2. now, we can substitute x=2 into an equation to find y. choose the first one as it is easier. 2(2) +2y = 10 gives us 4 +2y=10. rearrange this to give 2y=6 and ultimately y=3. now we need to double check this works. choose either equation but preferably use the one you didn't use earlier, so the second in this case and substitute x=2 and y=3. 7(2) + 4(3) = 14 + 12 = 26

SM
Answered by Sylvia M. Maths tutor

4558 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the values of x and y when 3x+4y=18 and 4x+2y=14


Solve 6/(x-3) + x/(x+4) = 1


How do you factorise and know if it is a difference of two squares ?


y = p x q^(x - 1), When x = 1, y = 10, and when x = 6, y = 0.3125. Find the value of 'y' when x = 3


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