Question

Find the solutions to the system; y=x^2-3x-1 and y=8x-1

a) (0,-1) and (11,388)

b) (0,-1) and (11,87)

c) (-1,0) and (87,11)

d) no solution


I know the first step is to make them equal to each other, x^2-3x-1=8x-1

Answer 1

`{x}^(2) - 3x - 1 = 8x - 1 \\ {x}^(2) - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11`

When x = 0,

`y = 8x - 1 \\ y = 0 - 1 \\ y = - 1`

When x = 11

`y = 8(11) - 1 \\ y = 87`
x = 0, y = - 1
x = 11, y = 87

Answer is B.

Hope this helps. - M