How do i solve two linear simultaneous equations 2x+y=7 & 3x-y=8 ?

To start with, try and spot whether or not two of the coeffecients (numbers next to the letters) are the same for either question (i.e. could be a 3x in one equation and a 3x in the other). This also works if the number is the same but the sign is different (i.e. 2x and -2x). As one equation contains a y, and the other contains a -y, you need to add the two equations together to eliminate the y, leaving 5x=15.

Dividing through by 5 leaves x=3, and if you substitute this back into either of the original equations you get that y=1.

TB
Answered by Tom B. Maths tutor

3949 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When you integrate a function why do you add a constant?


Given that y=((4x+1)^3)sin2x. Find dy/dx.


A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.


Solve 2sec^2(x) = 3 + tan(x) for 0 < x <pi/2


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