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.