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Answer :

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!
It is not because when you plug x=2 and y=4 into the second equation, it is not a true statement. In order for the ordered pair to apply to the system, there needs to be a true statement for BOTH equations not just the first one.

Observe:

2-2(4)=-6
-6=-6 this is a true statement

3(2)-2(4)=12
6-8=12
-2≠12 this is a false statement

Therefore the solution 2,4 doesn’t apply to the system since it only applies to one of the equations

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