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Answer: Choice A) They are the only values that make both equations true</h3>
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Explanation:
plug x = 1.5 and y = -1.5 into the first equation
-2y + 6x = 12
-2(-1.5) + 6(1.5) = 12
3 + 9 = 12
12 = 12 ... we get a true equation
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Plug x = 1.5 and y = -1.5 into the second equation
4x + 12y = -12
4(1.5) + 12(-1.5) = -12
6 - 18 = -12
-12 = -12 ... another true equation
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Both equations are true when (x,y) = (1.5, -1.5)
So it is a solution of the system.
This is the only solution. This is because there is only one point of intersection of the two lines.