Solve the simultaneous equations: 3x+y=11 and 2x+y=8.

First we want to eliminate of one these variables in order to solve the equations. We need to identify which variable has the same coefficient- in this case, it is y. So, we subtract the two equations from each other to eliminate y.3x + y =11 -2x + y =8 = x =3Now we know the value of x, we can substitute this into either one of the equations to get the value of y. Lets use the equation 2x + y =8.By substituting in x=3, we get 6+y=8 and so y=2.So the solution is x=3 and y=2.

SK
Answered by Simran K. Maths tutor

5912 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the value of 4a + 3b when a=2 and b=5


A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.


Simplify fully (3x^2-8x-3)/(2x^2-6x)


£3000 is invested for 2 years at 3.8% per annum compound interest. What is the total interest earned over the 2 years?


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