Answer:
(3,7) (7,3) (−1,14) (0,1) (12,25)
(5,11) (0,12) (1,8) (12,0) (−1,−1)
Step-by-step explanation:
We have the following function:
[tex]y = 2x+1[/tex].
We are going to check if each ordered pair is a solution.
(3,7)
If when [tex]x = 3, y = 7[/tex], it is a solution.
[tex]y = 2x + 1 = 2(3) + 1 = 7[/tex]
This ordered pair is a solution.
(7,3)
If when [tex]x = 7, y = 3[/tex], it is a solution.
[tex]y = 2x + 1 = 2(7) + 1 = 15[/tex]
This ordered pair is not a solution.
(-1,14)
If when [tex]x = -1, y = 14[/tex], it is a solution.
[tex]y = 2x + 1 = 2(-1) + 1 = -1[/tex]
This ordered pair is not a solution.
(0,1)
If when [tex]x = 0, y = 1[/tex], it is a solution.
[tex]y = 2x + 1 = 2(0) + 1 = 1[/tex]
This ordered pair is a solution.
(12,25)
If when [tex]x = 12, y = 25[/tex], it is a solution.
[tex]y = 2x + 1 = 2(12) + 1 = 25[/tex]
This ordered pair is a solution.
(5,11)
If when [tex]x = 5, y = 11[/tex], it is a solution.
[tex]y = 2x + 1 = 2(5) + 1 = 11[/tex]
This ordered pair is a solution.
(0,12)
If when [tex]x = 0, y = 12[/tex], it is a solution.
[tex]y = 2x + 1 = 2(0) + 1 = 1[/tex]
This ordered pair is not a solution.
(1,8)
If when [tex]x = 1, y = 8[/tex], it is a solution.
[tex]y = 2x + 1 = 2(1) + 1 = 3[/tex]
This ordered pair is not a solution.
(12,0)
If when [tex]x = 12, y = 0[/tex], it is a solution.
[tex]y = 2x + 1 = 2(12) + 1 = 25[/tex]
This ordered pair is not a solution.
(-1,-1)
If when [tex]x = -1, y = -1[/tex], it is a solution.
[tex]y = 2x + 1 = 2(-1) + 1 = -1[/tex]
This ordered pair is a solution.