(2, -1)
The equation can be simplified to show a value of Y in terms of X. 3X + 2Y +2 = 4Y + 4 3X + 2 = 2Y + 4 3X -2 = 2Y and 2Y = 3X - 2 means that Y = (3/2 X) -1
(-2, 4)
3x + 2y = 12 ie 2y = 12 - 3x so y = 6 - 3x/2
3x+2y-7=0 2y=-3x+7 y=1/2(-3x+7) or -3/2 x +7/2
(-1, 0)
-3x + 2y = -4There are lots of different ways to write it.Here are a few:-3x = -2y - 43x = 2y + 42y = 3x - 4-2y = -3x + 4x = 2y/3 + 4/3y = 3x/2 - 2
-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
3x plus 2y - 3 is an expression. There can be no answer to one expression and one linear equation in two variables.
Both of them are equations!The solution is (x, y) = (2, 1).