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.
PA
Related Maths A Level answers
All answers ▸How do you find the gradient of a parametric equation at a certain point?
Find the area bounded by the curve x^3-3x^2+2x and the x-axis between x=0 and x=1.
Use the substitution u = 6 - x^2 to find the value of the integral of (x^3)/(sqrt(6-x^2)) between the limits of x = 1 and x = 2 (AQA core 3 maths
The mass of a substance is increasing exponentially. Initially its mass is 37.5g, 5 months later its mass is 52g. What is its mass 9 months after the initial value to 2 d.p?