The origin (0,0,0) is not on the plane.
4z + 2 + 5z - 3 = 9z - 1
8x + 5z - 4x + 3z + 6 = 8x - 4x + 5z + 3z - 6 = 4x + 8z - 6
well, this is pretty easy, just look at it logically:2x - 2y + 5z - 2x - y + 3zwhen you are trying to simplify a formula, your best practice would be to always begin with "organizing" the numbers, in this case it would become:2x - 2x -2y - y + 5z +3zwhen you organize it, it becomes clear what you need to do; first you get rid of the "opposing" values which cancel each other out, in this case the 2x:2x - 2x -2y - y + 5z +3z = -2y - y + 5z + 3zWhen two numbers have the exact same values but one is positive and the other is negative, their result is always zero, so you can simply erase them. In the opposite, when both of them are positive or both of them are negative, then they add up to each other:-2y - y + 5z +3z = -3y + 8z OR 8z - 3yFor this one, I don't think it can be simplified further, 8z - 3y is its' simplest form.
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27y3 + 125z3 = (3y + 5z)*(9y2 - 15yz + 25z2).
It is the equation of a line in 3-dimensional space.
Add together like terms: 8z-3y
If r = 5z, then 15z = 3y, then r = y. This can be solved easily by solving for z in the second equation and substituting into the first equation.
if: r = 5z 15z = 3y then: z = y/5 r = 5(y/5) r = y
if r=5z and 15z =3 then r=10y
r = 5z 15z = 3y (divide by 3 to both sides) 5z = y r = y
-8z + 5z = -3z
The origin (0,0,0) is not on the plane.
Dont trip B****
4z + 2 + 5z - 3 = 9z - 1
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