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

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 — equation A —-> 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 Find the value of y

substitute the value of x in any equation   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)