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Re: I have no clue [#permalink]
30 Aug 2007, 20:23
2x + y = 12 |y| <= 12
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers? A. 7 B. 10 C. 12 D. 13 E. 14
P.S. please no answers like "i think it's B or C"
since |y| is 12 so y lies between -12 to 12. now if we substitute -12 in the equation we get x = 12 , if substitute -11 we get a fraction. again if we substitute y = -10 we get x = 11 if we substitute y = -9 we get x as a fraction. so since we are interested only in integers, there would half as many pairs as the range of Y which 24/2 = 12. so answer is C