5Y+2X-Z=2

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Solution for 5Y+2X-Z=2 equation:


Simplifying
5Y + 2X + -1Z = 2

Reorder the terms:
2X + 5Y + -1Z = 2

Solving
2X + 5Y + -1Z = 2

Solving for variable 'X'.

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

Add '-5Y' to each side of the equation.
2X + 5Y + -5Y + -1Z = 2 + -5Y

Combine like terms: 5Y + -5Y = 0
2X + 0 + -1Z = 2 + -5Y
2X + -1Z = 2 + -5Y

Add 'Z' to each side of the equation.
2X + -1Z + Z = 2 + -5Y + Z

Combine like terms: -1Z + Z = 0
2X + 0 = 2 + -5Y + Z
2X = 2 + -5Y + Z

Divide each side by '2'.
X = 1 + -2.5Y + 0.5Z

Simplifying
X = 1 + -2.5Y + 0.5Z

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