x = 3y - 3 so 6 (3y - 3) + 2y = -12 ie 18y - 18 + 2y = -12
ie 20y = 6 so y = 0.3 and x = -2.1
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3y - 3 = 2y + 5 3y - 2y = 5 + 3 y = 8
Solving for y: 5y = 9 + 2y 5y - 2y = 9 3y = 9 y = 9/3 = 3
5 - 2y = -3y - 2Subtract 5 from each side:-2y = -3y - 7Add 3y to each side:y = -7
The lines are perpendicular, and intersect at the point (1.35, 3.55) .
(3x+2y)*(5x-3y) =3x*5x + 3x*(-3y) + 2y*5x + 2y*(-3y) [This is sometimes called the FOIL method - You multiply the First members of each bracket, then the Outers, Inners, Lasts] = 15x2 - 9xy + 10xy - 6y2 = 15x2 + xy - 6y2