If 3x + 2y = 11 and 2x + 3y = 17, what is the average (arithmetic mean) of x and y?

Also, what sort of math problem is this SAT question classified as?

Question

If 3x + 2y = 11 and 2x + 3y = 17, what is the average (arithmetic mean) of x and y?

Also, what sort of math problem is this SAT question classified as?

amistre64 · Answer

annoying?

amistre64 · Answer

its a system of equations, and they want you to find the common solution; then they want you to take that solution and average them out for some silly reason

anonymous · Answer

Thanks.  I was suspecting system of equations method of some sort but I was wondering if there was some super fast shortcut just in case.  Otherwise, it may take a bit of time.

anonymous · Answer

Would it always work if I solve for y of each equation then plug the values into a grpahing calculator and find the average of x andy at the intersecting points?  As the question is multiple choice, teh answer choice that is correct is the answer I got using the graphing method but rounded up to the tenths digit.