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

4331 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

y is inversely proportional to d^2. When d = 10, y = 4. d is directly proportional to x^2. When x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.


Factorise fully 6xyz + 24x^2yz + 18xy^3z^2


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


Solve the following pair of simultaneous equations: 5x+2y=8 and 2x+y=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