3x-y+z=1

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


Simplifying
3x + -1y + z = 1

Solving
3x + -1y + z = 1

Solving for variable 'x'.

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

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

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

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

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

Divide each side by '3'.
x = 0.3333333333 + 0.3333333333y + -0.3333333333z

Simplifying
x = 0.3333333333 + 0.3333333333y + -0.3333333333z

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