Question

Select the correct answer from each drop-down menu. y = x2 + 2x − 1 y − 3x = 5 The pair of points representing the solution set of this system of equations

Answer 1

(-2,-1)

(3,14)

Step-by-step explanation

The given system is

`y = {x}^(2) + 2x - 1`

`y - 3x = 5`

or

`y = 3x + 5`

Equate both of them:

`{x}^(2) + 2x - 1 = 3x + 5`

This implies that,

`{x}^(2) - x - 6 = 0`

`(x - 3)(x + 2) = 0`

x=-2 or x=3

When x=-2, y=y=3(-2)+5=-1

(-2,-1) is a solution.

When x=3 , y=3(3)+5=14

(3,14) is also a solution.