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)
(7,1)
(1,7)
To determine whether an ordered pair is part of the solution set for the equation y = 2x + 5, we substitute the x-coordinate into the equation and check if it satisfies the equation when substituted.
Let's check each of the ordered pairs:
(3, -1):
Substituting x = 3 into the equation:
y = 2x + 5
y = 2(3) + 5
y = 6 + 5
y = 11
The y-coordinate is 11, not -1. Therefore, (3, -1) is not part of the solution set.
(1, 2):
Substituting x = 1 into the equation:
y = 2x + 5
y = 2(1) + 5
y = 2 + 5
y = 7
The y-coordinate is 7, which matches the given y-coordinate in the ordered pair. Therefore, (1, 2) is part of the solution set.
(7, 1):
Substituting x = 7 into the equation:
y = 2x + 5
y = 2(7) + 5
y = 14 + 5
y = 19
The y-coordinate is 19, not 1. Therefore, (7, 1) is not part of the solution set.
(1, 7):
Substituting x = 1 into the equation:
y = 2x + 5
y = 2(1) + 5
y = 2 + 5
y = 7
The y-coordinate is 7, which matches the given y-coordinate in the ordered pair. Therefore, (1, 7) is part of the solution set.
So, the ordered pairs that are part of the solution set for the equation y = 2x + 5 are:
(1, 2) and (1, 7).
Answer: (1, 2) and (1, 7)