Which of the following ordered pairs is part of the solution set for the equation y = 2x + 5?
• (7,1)
• (1,2)
• (3,-1)
• (1,7)
To determine which ordered pairs are part of the solution set for the equation y = 2x + 5, we need to substitute the x and y values into the equation and check if it holds true.
1. (7,1)
Substituting x = 7 and y = 1 into the equation:
1 = 2(7) + 5
1 = 14 + 5
1 = 19
This equation is not true, so (7,1) is not part of the solution set.
2. (1,2)
Substituting x = 1 and y = 2 into the equation:
2 = 2(1) + 5
2 = 2 + 5
2 = 7
This equation is not true, so (1,2) is not part of the solution set.
3. (3,-1)
Substituting x = 3 and y = -1 into the equation:
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11
This equation is not true, so (3,-1) is not part of the solution set.
4. (1,7)
Substituting x = 1 and y = 7 into the equation:
7 = 2(1) + 5
7 = 2 + 5
7 = 7
This equation is true, so (1,7) is part of the solution set.
Therefore, the only ordered pair that is part of the solution set for the equation y = 2x + 5 is (1,7).