Which of the following ordered pairs is part of the solution set for the equation y = 2x + 5?
A. (7, 1)
B. (1, 7)
C. (3, -1)
D. (1, 2)
To determine if an ordered pair is part of the solution set for the equation, substitute the values into the equation to see if the equality holds true.
Let's check each option:
A. (7, 1)
Substitute x = 7 and y = 1 into the equation y = 2x + 5
1 = 2(7) + 5
1 = 14 + 5
1 = 19
The equation does not hold true.
B. (1, 7)
Substitute x = 1 and y = 7 into the equation y = 2x + 5
7 = 2(1) + 5
7 = 2 + 5
7 = 7
The equation holds true.
C. (3, -1)
Substitute x = 3 and y = -1 into the equation y = 2x + 5
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11
The equation does not hold true.
D. (1, 2)
Substitute x = 1 and y = 2 into the equation y = 2x + 5
2 = 2(1) + 5
2 = 2 + 5
2 = 7
The equation does not hold true.
Therefore, the ordered pair (1, 7) is the only one that is part of the solution set for the equation y = 2x + 5.
The answer is B. (1, 7)