Solve the two simultaneous equations X2 +2Y2= 18 and X - Y = 3

1) X2 +2Y2= 182) X - Y = 3
Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y)2+2Y2=18, this is your new equation 39+3Y+3Y+Y2+2Y2=183) 9+6y+3Y2= 18Divide equation 3) by 33 +2Y+Y2=6Solve for Y by equating to zero then factorising in to double brackets;Y2+2Y -3 = 0(Y+3)(Y-1)=0when (Y-1)=0, Y =1 and when (Y+3)=0, Y=-3solve x by substituting your found Y values in to equation 2when Y=1; X-1 = 3 so X=4When Y=-3; X--3=3, so X=0

RC
Answered by Rebecca C. Maths tutor

4022 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Differentiate dy/dx ((2x^3)+(x^2)-(4x)+7)


Show that 0.81 reocurring = 9/11


A circular table has a diameter 140 cm. Calculate the area of the table in cm^2, leaving your answer as a multiple of pi.


How do you factorise a quadratic with a co-efficient in front of the x^2 - e.g: 3x^2 + 14x + 8


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