2x+5y=3x-y

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Solution for 2x+5y=3x-y equation:


Simplifying
2x + 5y = 3x + -1y

Solving
2x + 5y = 3x + -1y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x + 5y = 3x + -3x + -1y

Combine like terms: 2x + -3x = -1x
-1x + 5y = 3x + -3x + -1y

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = -1y + -5y

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

Combine like terms: -1y + -5y = -6y
-1x = -6y

Divide each side by '-1'.
x = 6y

Simplifying
x = 6y

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