Question

Solve the system of equations y = x2 + 2x − 1 and y − 3x = 5

Answer 1

`(x, y)=\{(-2,-1), (3,14)\}`

Explanation:

`y=x^2+2x-1, y=3x+5 \\ \\ \implies x^2+2x-1=3x+5 \\ \\ x^2-x-6=0 \\ \\ (x-3)(x+2)=0 \\ \\ x=-2, 3 \\ \\ x=-2 \implies y=-1 \\ \\ x=3 \implies y=14 \\ \\ \therefore (x, y)=\{(-2,-1), (3,14)\}`