Q:

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)

Accepted Solution

A:
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.