<PRE><B>Question 258849</B>
Choose the ordered pair that is a solution to the system of equations.
3x - 2y = 5
6x - 3y = 2
(-8, -11/3)
(8, -11/3)
(11/3, -8)
(-11/3, -8) 

3x - 2y = 5
6x - 3y = 2 (solving this one for x)

6x - 3y = 2
6x = 2 + 3y
x = 1/3 + (1/2)y   (2/6=1/3 and 3/6=1/2)

3x - 2y = 5 (and plug in and solve for y)
3(1/3 + (1/2)y) - 2y = 5
1 + (3/2)y - 2y = 5
(3/2)y - 2y = 4  (2=4/2)
(-1/2)y = 4
-y = 8
y = -8

6x - 3y = 2 (solve for x plugging in -8 for y)
6x - 3(-8) = 2
6x + 24 = 2
6x = -22
x = -22/6 = -11/3

(-11/3, -8) is the ordered pair that is your answer
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