3x - 6y = 9, 5x + 4y = -27 6x - 12y = 18, 15x + 12y = -81 21x = -63 x = -3 (3 x -3) = 9 + 6y (-9 - 9)/6 = y y = -3 Check: (5 x -3) + (4 x -3) = -15 -12 = -27 QED
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3x=4y-x 4x=4y x=y
Combine like terms: -2x - 4y + 5x - 7y = 3x - 11y -2x + 5x = 3x -4y + -7y = -11y
4y= -3x + 12 y = -3/4x + 3 The perpendicular slope is 4/3
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
Add the two equations and get 4x = 12 so x = 3 and y = -1