2x+3y=5x-y

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


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

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

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -1y + -3y = -4y
-3x = -4y

Divide each side by '-3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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