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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
The ordered triple is (x, y, z) = (1, -1, -2)
18x - 9y + 3z = 18First, just to clean it up a bit, divide both sides of the equation by 3.(This doesn't change the equation or its graph in any way.)6x - 3y + z = 6At the 'x'-intercept, 'y' and 'z' are zero:6x = 6x = 1At the 'y'-intercept, 'x' and 'z' are zero:-3y = 6-y = 2y = -2At the 'z'-intercept, 'x' and 'y' are zero:z = 6
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