Question

Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

(3,7) (7,3) (−1,14) (0,1) (12,25)
(5,11) (0,12) (1,8) (12,0) (−1,−1)

Answer 1

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)

Explanation:

We have the following function:

`y = 2x+1`.

We are going to check if each ordered pair is a solution.

(3,7)

If when
`x = 3, y = 7`, it is a solution.

`y = 2x + 1 = 2(3) + 1 = 7`

This ordered pair is a solution.

(7,3)

If when
`x = 7, y = 3`, it is a solution.

`y = 2x + 1 = 2(7) + 1 = 15`

This ordered pair is not a solution.

(-1,14)

If when
`x = -1, y = 14`, it is a solution.

`y = 2x + 1 = 2(-1) + 1 = -1`

This ordered pair is not a solution.

(0,1)

If when
`x = 0, y = 1`, it is a solution.

`y = 2x + 1 = 2(0) + 1 = 1`

This ordered pair is a solution.

(12,25)

If when
`x = 12, y = 25`, it is a solution.

`y = 2x + 1 = 2(12) + 1 = 25`

This ordered pair is a solution.

(5,11)

If when
`x = 5, y = 11`, it is a solution.

`y = 2x + 1 = 2(5) + 1 = 11`

This ordered pair is a solution.

(0,12)

If when
`x = 0, y = 12`, it is a solution.

`y = 2x + 1 = 2(0) + 1 = 1`

This ordered pair is not a solution.

(1,8)

If when
`x = 1, y = 8`, it is a solution.

`y = 2x + 1 = 2(1) + 1 = 3`

This ordered pair is not a solution.

(12,0)

If when
`x = 12, y = 0`, it is a solution.

`y = 2x + 1 = 2(12) + 1 = 25`

This ordered pair is not a solution.

(-1,-1)

If when
`x = -1, y = -1`, it is a solution.

`y = 2x + 1 = 2(-1) + 1 = -1`

This ordered pair is a solution.