Question

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)

Answer 1

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).