Consider the system of equations above. Which of the following statements is true?

Choose 1 answer:

(Choice A)A

There is only one solution [FONT=KaTeX_Main](x,y)([FONT=KaTeX_Math]*x*,[FONT=KaTeX_Math]*y*)left parenthesis, x, comma, y, right parenthesis and [FONT=KaTeX_Main]x + y[FONT=KaTeX_Math]*x*+[FONT=KaTeX_Math]*y*x, plus, y is positive.

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(Choice B)B

There is only one solution [FONT=KaTeX_Main](x,y)([FONT=KaTeX_Math]*x*,[FONT=KaTeX_Math]*y*)left parenthesis, x, comma, y, right parenthesis and [FONT=KaTeX_Main]x + y[FONT=KaTeX_Math]*x*+[FONT=KaTeX_Math]*y*x, plus, y is negative.

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(Choice C)C

There are infinitely many solutions.

(Choice D)D

There are no solutions.

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[/FONT]How do I solve for this equation and why'd they show that multiplying by 15 in both equation was a correct choice in the explanation?[/FONT]