Q: 3x - 2y equals 6

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3x-2y=6 -2y=-3x+6 y=1.5x-3

3x+2y=6 2y=-3x+6 y=-1.5x+3

-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6

2y = 3x-6 y = 1.5x-3 in slope intercept form

Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3

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3x-2y=6 -2y=-3x+6 y=1.5x-3

3x+2y=6 2y=-3x+6 y=-1.5x+3

3x - 2y = 12 2y + 12 = 3x 2y = 3x - 12 y = 3x/2 - 6 Gradient = 3/2 Y-intercept = -6

-3x + 2y = 12-3x + 3x + 2y = 3x + 122y = 3x + 122y/2 = 3x/2 + 12/2y = (3/2)x + 6

3x + 2y = 12 ie 2y = 12 - 3x so y = 6 - 3x/2

2y = 3x-6 y = 1.5x-3 in slope intercept form

3x - 2y = 6At the x-intercept, y=0 :3x = 6x = 2

Put in this form.......Y = mX + bb = Y intercept.3X - 2Y = 6- 2Y = - 3X + 6Y = (3/2)X - 3================

Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3

x+2y-6=z -z -z x+2y-z-6=0 +6 +6 ---------> x+2y-z=6 3y-2z=7 ---------> 0x+3y-2z=7 4+3x=2y-5z -3x -3x ---------> -3x+2y-5z=4 Put them into a matrix, for x,y,z and their answers. Solve for [A]-1[B], and the answer comes to: x= 1.75, y= 1.5, and z= -1.25

Well lets see: 2y = 6x+8 y=3x+4 does not equal y=3x+6 So they are not the same.

-3x + 2y = 9 2y = 3x + 9y = 1,5x + 4,5