If ( x , y ) is a solution of the system of equations above and x 0, what

Question

If ( x , y ) is a solution of the system of equations above and x > 0, what is the value of xy ?

Accepted Answer

Choice A is correct. Substituting for y in the second equation gives . This equation can be solved as follows: Apply the distributive property. Subtract 2x and 6 from both sides of the equation. Combine like terms. Factor both terms on the left side of the equation by 2x. Thus, and are the solutions to the system. Since , only needs to be considered. The value of y when is . Therefore, the value of xy is . Choices B, C, and D are incorrect and likely result from a computational or conceptual error when solving this system of equations.

Question if-x-y