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Linear Equations in Two Variables

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2xy=72x - y = 7 and 4x2y=104x - 2y = 10

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(x,y)=(5,3)(x, y) = (5, 3)

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y=x+2y = x + 2 and y=x+4y = -x + 4

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(x,y)=(1,3)(x, y) = (1, 3)

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3xy=03x - y = 0 and x+2y=12x + 2y = 12

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(x,y)=(3,9)(x, y) = (3, 9)

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4y=8x4y = 8x and y=2x1y = 2x - 1

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(x,y)=(1,1)(x, y) = (1, 1)

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5x3y=155x - 3y = 15 and xy=3x - y = -3

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(x,y)=(0,3)(x, y) = (0, 3)

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y=2x+4y = 2x + 4 and y=x1y = x - 1

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(x,y)=(5,14)(x, y) = (5, 14)

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2x+5y=202x + 5y = 20 and 5x+2y=255x + 2y = 25

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(x,y)=(3,2)(x, y) = (3, 2)

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7yx=147y - x = 14 and 3x21y=423x - 21y = -42

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Infinite number of solutions (the lines coincide)

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y=3x+1y = 3x + 1 and 3y9x=33y - 9x = 3

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(x,y)=(0,1)(x, y) = (0, 1)

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y+6=3xy + 6 = 3x and 2y+12=6x2y + 12 = 6x

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Infinite number of solutions (the lines coincide)

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x+4y=12x + 4y = 12 and 3x+12y=9-3x + 12y = 9

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(x,y)=(3,2.25)(x, y) = (3, 2.25)

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x+3y=9x + 3y = 9 and 2x+6y=182x + 6y = 18

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Infinite number of solutions (the lines coincide)

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4yx=84y - x = 8 and 2x+y=72x + y = 7

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(x,y)=(2,3)(x, y) = (2, 3)

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2x3y=62x - 3y = 6 and x+y=4x + y = 4

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(x,y)=(2,2)(x, y) = (2, 2)

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y=3x+9y = -3x + 9 and y=2x+3y = 2x + 3

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(x,y)=(1,5)(x, y) = (1, 5)

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y=4x1y = 4x - 1 and 2y=8x22y = 8x - 2

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Infinite number of solutions (the lines coincide)

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6x9y=126x - 9y = 12 and y=2x+6y = -2x + 6

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(x,y)=(2,2)(x, y) = (2, 2)

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y=4x+8y = -4x + 8 and y=0.5x1y = 0.5x - 1

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(x,y)=(2,0)(x, y) = (2, 0)

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y=5y = 5 and y=2x+5y = -2x + 5

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(x,y)=(0,5)(x, y) = (0, 5)

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y=x+6y = -x + 6 and 2x+2y=122x + 2y = 12

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(x,y)=(3,3)(x, y) = (3, 3)

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