Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x − 2y = 4.

Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 10/3Substitute x into one of the equations to solve for y:2(10/3) + 5y = 5y = - 1/3So the coordinates of intersection are: (10/3, - 1/3)

EO
Answered by Ethan O. Maths tutor

4386 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do we work out the asymptotes of the graph y=1/x -5


Sketch the graph y = 2sin(4x)


Given that y = 3x(^2) + 6x(^1/3) + (2x(^3) - 7)/(3(sqrt(x))) when x > 0 find dy/dx


The Curve, C, has equation: x^2 - 3xy - 4y^2 +64 =0 Find dy/dx in terms of x and y. [Taken from Edexcel C4 2015 Q6a]


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