Find the coordinates of the point where lines 3x+5=y and 6y+x=11 intersect

To find the coordinates of the point, we have to solve the equations simultaneously. To do this, we need the same number for the coefficient of x or y in each equation. Arbitrarily, we will chose to match the x coefficients. This means we have to multiply equation 2 by 3 resulting in2) 18y+3x=33We now rearrange for 3x3x=33-18yand substitute into equation 1(33-18y)+5=yWe now solve for y to give y=2We sub this back into equation 2) to give6(2)+x=11therefore x=-1 and the coordinates are (-1,2)

Answered by Adeoluwa P. Maths tutor

2374 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is 25% of 400?


Expand and simplify (x – 2)(2x + 3)


Dipen and Nisha are planning a wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct?


What is the size of the interior angle of a regular 12-sided polygon?


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