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)

AR
Answered by Alistair R. Maths tutor

3914 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: 2x+2y = 10 and 7x + 4y = 26


What actully is the derivative of a function? What does it represent?


(3 + root(a))(4 + root(a)) = 17 + k(root(a)) where a and k are positive integers. Find the value of a and the value of k.


Solve this equation; 5x - 4 = 3x + 7


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