Solve the following simultaneous equations: y-3x+2=0, y^2-x-6x^2=0
(1) y-3x+2=0
(2) y2-x-6x2=0
Using (1): y=3x-2
Sub y value into (2): (3x-2)2-x-6x2=0
Expand the brackets: 9x2-13x+4-x-6x2=0
Group terms: 3x2-13x+4=0
Factorise: (3x-1)(x-4)=0
Find roots (set brackets equal to 0): 3x-1=0, x-4=0x=1/3, x=4
Sub into equation (1) to find y values: y=-1, y=10.
