13(x-y)=4x+y

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Solution for 13(x-y)=4x+y equation:


Simplifying
13(x + -1y) = 4x + y
(x * 13 + -1y * 13) = 4x + y
(13x + -13y) = 4x + y

Solving
13x + -13y = 4x + y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13x + -4x + -13y = 4x + -4x + y

Combine like terms: 13x + -4x = 9x
9x + -13y = 4x + -4x + y

Combine like terms: 4x + -4x = 0
9x + -13y = 0 + y
9x + -13y = y

Add '13y' to each side of the equation.
9x + -13y + 13y = y + 13y

Combine like terms: -13y + 13y = 0
9x + 0 = y + 13y
9x = y + 13y

Combine like terms: y + 13y = 14y
9x = 14y

Divide each side by '9'.
x = 1.555555556y

Simplifying
x = 1.555555556y

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