5x-y+3z=5

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Solution for 5x-y+3z=5 equation:


Simplifying
5x + -1y + 3z = 5

Solving
5x + -1y + 3z = 5

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.
5x + -1y + y + 3z = 5 + y

Combine like terms: -1y + y = 0
5x + 0 + 3z = 5 + y
5x + 3z = 5 + y

Add '-3z' to each side of the equation.
5x + 3z + -3z = 5 + y + -3z

Combine like terms: 3z + -3z = 0
5x + 0 = 5 + y + -3z
5x = 5 + y + -3z

Divide each side by '5'.
x = 1 + 0.2y + -0.6z

Simplifying
x = 1 + 0.2y + -0.6z

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