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there are several methods .... elimination, substition, graphing, and cramer's rule
for substitution : (1st eq) 6x - 3y = 9
(2nd eq) 9y = -3x + 2x simplifies into 9y = -x or x = -9y
substitute this into the (1st eq) 6(-9y) - 3y = 9
-54y - 3y = 9
-57y = 9
y = -9/57 =-3/19
now use this to find the x value ... x = -9y = -9(-3/19)
x = 27/19
thus the answer is the ordered pair (27/19, -3/19)
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