Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2

y+ x2 = 10

  1. Subsitutute the top equation into the second equation:

     (x-2)2 + x2 = 10

  1. Expand out the brackets and simplify:

     x- 4x + 4 + x= 10

     2x- 4x - 6 = 0

     x2 - 2x - 3 = 0

  1. Factorise the quadratic equation to find the two values of x:

    (x - 3) (x + 1) = 0

    x = 3, x = -1

         

IR
Answered by Iman R. Maths tutor

14872 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the total area enclosed between y = x^3 - x, the x axis and the lines x = 1 and x= -1 . (Why do i get 0 as an answer?)


How can you factorise expressions with power 3 or higher?


How do I differentiate a trigonometric function for something that is not just a single variable (e.g. d/dx (sin(3x))?


Points P and Q are situated at coordinates (5,2) and (-7,8) respectively. Find a) The coordinates of the midpoint M of the line PQ [2 marks] b) The equation of the normal of the line PQ passing through the midpoint M [3 marks]


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