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2x + 4y = 16 is the same as 4y = -2x + 16 divide both sides by 4 and you get y = (-x/2) +4 3x - 2y = 6 is the same as -2y = -3x + 6 divide both sides by 2 and you get y = (-3x/2) + 3 therfore they do not have the same solution
If: 4x+3y-5 = 0 then y = -4/3x+5/3 Perpendicular slope: 3/4 Perpendicular equation: y--3 = 3/4(x--2) => 4y+12 = 3x+6 => 4y = 3x-6 In its general form: 3x-4y-6 = 0
3x-2y=24 (1)6x-4y=-6 (2)(1) => 6x-4y=48 [(1)*2](1)*2=(2)therefore:6x-4y = -6 AND 48-6 ≠ 48the equation cannot be solved
Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3
3x - 4y = 24At the x-intercept, y=0 :3x = 24x = 8At the y-intercept, x=0 :-4y = 24y = -6