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Which statements are true about the ordered pair (-4, 0) and the system of equations? CHOOSE ALL THAT APPLY!

2x + y = -8
x - y = -4
The ordered pair (-4, 0) is a solution to the first equation because it makes the first equation true.
The ordered pair (-4, 0) is a solution to the first equation because it makes the first equation true.

The ordered pair (-4, 0) is a solution to the second equation because it makes the second equation true.
The ordered pair (-4, 0) is a solution to the second equation because it makes the second equation true.

The ordered pair (-4, 0) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (-4, 0) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (-4, 0) is a solution to the system because it makes both equations true.
The ordered pair (-4, 0) is a solution to the system because it makes both equations true.

Which statements are true about the ordered pair (-4, 0) and the system of equations-example-1
User Akgaur
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The statements that are true about the ordered pair (-4, 0) and the system of equations are:

The ordered pair (-4, 0) is a solution to the first equation because it makes the first equation true.

The ordered pair (-4, 0) is not a solution to the system because it makes at least one of the equations false.

To verify statement 1, we substitute the values x = -4 and y = 0 into the first equation:

2x + y = -8

2(-4) + 0 = -8

-8 = -8

Since the equation is true when substituting the values, (-4, 0) is indeed a solution to the first equation.

To verify statement 3, we substitute the values x = -4 and y = 0 into the second equation:

x - y = -4

(-4) - 0 = -4

-4 = -4

Since the equation is true when substituting the values, (-4, 0) is also a solution to the second equation.

Therefore, statement 4 is also true:

4) The ordered pair (-4, 0) is a solution to the system because it makes both equations true.

In conclusion, statements 1, 3, and 4 are all true about the ordered pair (-4, 0) and the system of equations.

User Dejah
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