Solve for x and y: x ^2 +2y = 9,y = x + 3

  1. Replace y with x + 3. x^2 + 2(x+3) = 9
    2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0
    3) Factorise the quadratic(x - 1)(x + 3) = 0
    4) Therefore, x has 2 solutions. x = 1 and x = -3.
    5) Find corresponding y solutions by substituting these values of x into the second equation. ==> x = 1, y = 4 and x = -3, y = 0
CK
Answered by Changavy K. Maths tutor

2401 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following quadratic simultaneous equation: y = x + 4 and y = x^2 + 4x


Shape ABCD is a parallelogram. Y is the mid-point of AB and Z is on BC such that BZ=1/2ZC. Given that AB=a and BC=b, describe, in terms of a and b: a) AC b)CY c)YZ


3/5 of a number is 162. what is the number?


solve x^2 + 5x +6 = 0


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