Which of the following ordered pairs is part of the solution set for the equation y=2x+5 ? (1 point) Responses
(3,−1)
(1,2) l
(1,7)
(7,1)
The equation is y = 2x + 5. To check which of the ordered pairs is part of the solution set, substitute the x and y values into the equation to see if they make it true.
For (3, -1):
y = 2x + 5
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11
This is not true, so (3, -1) is not part of the solution set.
For (1, 2):
y = 2x + 5
2 = 2(1) + 5
2 = 2 + 5
2 = 7
This is not true, so (1, 2) is not part of the solution set.
For (1, 7):
y = 2x + 5
7 = 2(1) + 5
7 = 2 + 5
7 = 7
This is true, so (1, 7) is part of the solution set.
For (7, 1):
y = 2x + 5
1 = 2(7) + 5
1 = 14 + 5
1 = 19
This is not true, so (7, 1) is not part of the solution set.
Therefore, the ordered pair that is part of the solution set is (1, 7).