Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

y2 = (3x + 3)2 = 9x2 + 18x + 9

x2 + 9x2 + 18x + 9 = 9

10x2 + 18x = 0 (root a: x = 0)

5x + 9 = 0 (root b: x = -1.8)

For x = 0, y = 3(0) + 3 (root a: y = 3)

For x = -1.8, y = 3(-1.8) + 3 (root b: y = -2.4)

Solutions at (0, 3) and (-1.8, -2.4)

Answered by Alistair R. Maths tutor

2773 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Define an obtuse angle.


Find the highest common factor of 432 and 522


solve for x by completing the square x^2 + 4x - 12


How do you expand brackets? eg. (2x+3)(3x+4)


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 2013–2024

Terms & Conditions|Privacy Policy