y(x-3)=2x+1

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Solution for y(x-3)=2x+1 equation:


Simplifying
y(x + -3) = 2x + 1

Reorder the terms:
y(-3 + x) = 2x + 1
(-3 * y + x * y) = 2x + 1

Reorder the terms:
(xy + -3y) = 2x + 1
(xy + -3y) = 2x + 1

Reorder the terms:
xy + -3y = 1 + 2x

Solving
xy + -3y = 1 + 2x

Solving for variable 'x'.

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

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

Reorder the terms:
-2x + xy + -3y = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2x + xy + -3y = 1 + 0
-2x + xy + -3y = 1

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

Combine like terms: -3y + 3y = 0
-2x + xy + 0 = 1 + 3y
-2x + xy = 1 + 3y

Reorder the terms:
-1 + -2x + xy + -3y = 1 + 3y + -1 + -3y

Reorder the terms:
-1 + -2x + xy + -3y = 1 + -1 + 3y + -3y

Combine like terms: 1 + -1 = 0
-1 + -2x + xy + -3y = 0 + 3y + -3y
-1 + -2x + xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + -2x + xy + -3y = 0

The solution to this equation could not be determined.

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