Which of the following ordered pairs is part of the solution set for the equation y=2x+5 ?
(1 point)
Responses
(1,2)
left parenthesis 1 comma 2 right parenthesis
(7,1)
left parenthesis 7 comma 1 right parenthesis
(3,−1)
left parenthesis 3 comma negative 1 right parenthesis
(1,7)
To determine which of the ordered pairs is part of the solution set for the equation y=2x+5, we substitute the x-value into the equation and check if the resulting y-value matches the given y-value in the ordered pair.
Substituting the x-value and y-value from the first ordered pair, (1,2), into the equation y=2x+5, we get:
2 = 2(1) + 5
2 = 2 + 5
2 = 7
Since 2 does not equal 7, the ordered pair (1,2) is not part of the solution set.
Next, substituting the x-value and y-value from the second ordered pair, (7,1), into the equation y=2x+5, we get:
1 = 2(7) + 5
1 = 14 + 5
1 = 19
Since 1 does not equal 19, the ordered pair (7,1) is not part of the solution set.
Substituting the x-value and y-value from the third ordered pair, (3,-1), into the equation y=2x+5, we get:
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11
Since -1 does not equal 11, the ordered pair (3,-1) is not part of the solution set.
Finally, substituting the x-value and y-value from the fourth ordered pair, (1,7), into the equation y=2x+5, we get:
7 = 2(1) + 5
7 = 2 + 5
7 = 7
Since 7 equals 7, the ordered pair (1,7) is part of the solution set.
Therefore, the correct answer is (1,7).