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Which of the following ordered pairs is part of the solution set for the equation y=2x 5 ? (1 point) Responses (3,−1) left parenthesis 3 comma negative 1 right parenthesis (1,7) left parenthesis 1 comma 7 right parenthesis (7,1) left parenthesis 7 comma 1 right parenthesis (1,2)
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GPT 3.5
To find out which ordered pairs are part of the solution set for the equation, substitute the values of x and y into the equation and see if they are equal.
For the first ordered pair (3, -1):
Substitute x = 3 and y = -1: -1 = 2(3) + 5 -> -1 = 11
This equation is not true, so (3, -1) is not part of the solution set.
For the second ordered pair (1, 7):
Substitute x = 1 and y = 7: 7 = 2(1) + 5 -> 7 = 7
This equation is true, so (1, 7) is part of the solution set.
For the third ordered pair (7, 1):
Substitute x = 7 and y = 1: 1 = 2(7) + 5 -> 1 = 19
This equation is not true, so (7, 1) is not part of the solution set.
For the fourth ordered pair (1, 2):
Substitute x = 1 and y = 2: 2 = 2(1) + 5 -> 2 = 7
This equation is not true, so (1, 2) is not part of the solution set.
Therefore, the only ordered pair that is part of the solution set is (1, 7).
For the first ordered pair (3, -1):
Substitute x = 3 and y = -1: -1 = 2(3) + 5 -> -1 = 11
This equation is not true, so (3, -1) is not part of the solution set.
For the second ordered pair (1, 7):
Substitute x = 1 and y = 7: 7 = 2(1) + 5 -> 7 = 7
This equation is true, so (1, 7) is part of the solution set.
For the third ordered pair (7, 1):
Substitute x = 7 and y = 1: 1 = 2(7) + 5 -> 1 = 19
This equation is not true, so (7, 1) is not part of the solution set.
For the fourth ordered pair (1, 2):
Substitute x = 1 and y = 2: 2 = 2(1) + 5 -> 2 = 7
This equation is not true, so (1, 2) is not part of the solution set.
Therefore, the only ordered pair that is part of the solution set is (1, 7).
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