3y+2x+1z=3y-6x+9y

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Solution for 3y+2x+1z=3y-6x+9y equation:


Simplifying
3y + 2x + 1z = 3y + -6x + 9y

Reorder the terms:
2x + 3y + 1z = 3y + -6x + 9y

Reorder the terms:
2x + 3y + 1z = -6x + 3y + 9y

Combine like terms: 3y + 9y = 12y
2x + 3y + 1z = -6x + 12y

Solving
2x + 3y + 1z = -6x + 12y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
2x + 3y + 6x + 1z = -6x + 6x + 12y

Reorder the terms:
2x + 6x + 3y + 1z = -6x + 6x + 12y

Combine like terms: 2x + 6x = 8x
8x + 3y + 1z = -6x + 6x + 12y

Combine like terms: -6x + 6x = 0
8x + 3y + 1z = 0 + 12y
8x + 3y + 1z = 12y

Add '-3y' to each side of the equation.
8x + 3y + -3y + 1z = 12y + -3y

Combine like terms: 3y + -3y = 0
8x + 0 + 1z = 12y + -3y
8x + 1z = 12y + -3y

Combine like terms: 12y + -3y = 9y
8x + 1z = 9y

Add '-1z' to each side of the equation.
8x + 1z + -1z = 9y + -1z

Combine like terms: 1z + -1z = 0
8x + 0 = 9y + -1z
8x = 9y + -1z

Divide each side by '8'.
x = 1.125y + -0.125z

Simplifying
x = 1.125y + -0.125z

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