Which statements are true about the ordered pair (10, 5) and the system of equations? {2x-5y=-5 x+2y=11 Select each correct answer. The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true. The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true. The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false. The ordered pair (10, 5) is a solution to the system because it makes both equations true.

Question

Mathematics

Lyric Osborne

25 October, 23:18

Which statements are true about the ordered pair (10, 5) and the system of equations? {2x-5y=-5 x+2y=11 Select each correct answer. The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true. The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true. The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false. The ordered pair (10, 5) is a solution to the system because it makes both equations true.

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Answers (1)

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Juliana Trujillo · Answer 1

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

2x-5y=-5

x+2y=11

In equation (1), substitution of (10,5)

2x-5y=2 (10) - 5 (5) = 20-25=-5

However in equation (2), on substitution of (10,5)

x+2y=10+2 (5) = 10+10=20 ≠11.

However, the solutions of the simultaneous equations

2x-5y=-5

x+2y=11

are (5,3)