2x-y+3z=0

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Solution for 2x-y+3z=0 equation:


Simplifying
2x + -1y + 3z = 0

Solving
2x + -1y + 3z = 0

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.
2x + -1y + y + 3z = 0 + y

Combine like terms: -1y + y = 0
2x + 0 + 3z = 0 + y
2x + 3z = 0 + y
Remove the zero:
2x + 3z = y

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

Combine like terms: 3z + -3z = 0
2x + 0 = y + -3z
2x = y + -3z

Divide each side by '2'.
x = 0.5y + -1.5z

Simplifying
x = 0.5y + -1.5z

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