how to solve 3y = 6x - 9
You can't solve for both X and Y with only a single equation. You need two equations with both X and Y. With the one shown equation you can get
y = (6x - 9)/3 = 6x/3 - 9/3 = 2x- 3
6x = 3y+9,
then x = (3y + 9)/6 = 3y/6 + 9/6 = y/2 + 3
If there were a second equation with X and Y we would be able to replace X or Y with one of the above expressions and solve for the other variable.
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Ok, sure. So:6x-3y-9=0-3y-9=-6x+0-3y=-6x+9y=2x-3
6x + 3y = -9 So 3y = -6x - 9 or y = -2x - 3 So the slope of the given line is -2 Therefore, the slope a any parallel line is also -2.
2x+6x=-9 => 8x=-9=> x=-8/9
2x + 3y = 9x = 3, y = 1 therefore 6 + 3 = 9
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)