Solve the simultaneous equations x^2 + y^2 =13 and x= y - 5.

(y-5)2 + y2 = 13y2-10y +25 + y2=13.2y2-10y+12=0.y2-5y+6=0.(y-3)(y-2)=0. So, y=3 or y=2. Then substituting these values of y back into x=y-5 gives, x=-2 when y=3 and x=-3 when y=2.

HD
Answered by Hollie D. Maths tutor

4654 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The equation of the line L1 is y=3x–2. The equation of the line L2 is 3y–9x+5=0. Show that these two lines are parallel.


How do I solve a quadratic equation by factorising?


Solve the simultaneous equations, 3x + y = 10 and x + y = 4.


What is the next number in this sequence? 10, 13, 20, 31, 46, ...


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