Which statements are true about the ordered pair (5 – 6) and the system of equations? x + y = -1 | 3x – y = 21 Selec

Question

Which statements are true about the ordered pair (5
– 6) and the system of equations?
x + y = -1
| 3x – y = 21
Select each correct answer.
– 6) is a solution to the first equation because it makes the
The ordered pair (5
first equation true.
The ordered pair (5 – 6) is a solution to the second equation because it makes
the second equation true.
The ordered pair (5 – 6) is not a solution to the system because it makes at least
one of the equations false.
The ordered pair (5,
equations true.
– 6) is a solution to the system because it makes both

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Adalynn 6 days 2021-09-12T08:00:28+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T08:02:22+00:00

    Answer:

    The ordered pair (5,-6) is a solution to the first equation because it makes the first equation true

    The ordered pair (5 – 6) is a solution to the second equation because it makes  the second equation true

    The ordered pair (5 – 6) is a solution to the system because it makes both  equations true

    Step-by-step explanation:

    we have

    x+y=-1 — equation A

    3x-y=21 —-> equation B

    we know that

    If a ordered pair is a solution of the system of equations, then the ordered pair must satisfy both equations

    Solve the system of equations by elimination

    Adds equation A and equation B

    x+y=-1\\3x-y=21\\-----\\x+3x=-1+21\\4x=20\\x=5

    Find the value of y

    substitute the value of x in any equation

    x+y=-1

    5+y=-1

    y=-6

    The solution of the system is the point (5,-6)

    therefore

    Verify each statement

    a) The ordered pair (5,-6) is a solution to the first equation because it makes the first equation true.

    The statement is true (see the procedure)

    b) The ordered pair (5 – 6) is a solution to the second equation because it makes  the second equation true

    The statement is true (see the procedure)

    c) The ordered pair (5 – 6) is not a solution to the system because it makes at least  one of the equations false

    The statement is false (see the procedure)

    d) The ordered pair (5 – 6) is a solution to the system because it makes both  equations true

    The statement is true (see the procedure)

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