Question

Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5 x+3y=22 Select each correct answer. The first choice is The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true. The second choice is The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true. The third choice is The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false. The last choice is The ordered pair (7, 19) is a solution to the system because it makes both equations true.

Answer 1

For the first equation:

2 x - y = - 5      we will put the values: x = 7,  y = 19

2 · 7 - 19 = - 5

14 - 19 = - 5

- 5 = - 5    (Correct)

For the second equation:

x + 3 y = 22

7 + 3 · 19 = 22

7 + 57 = 22

64 = 22   (False)

Answer:

Correct are:

The first choice - The ordered pair (7,19) is a solution to the first equation because it makes the first equation true.

The third choice - The ordered pair (7,19) is not a solution to the system because it makes at least one of the equations false.