2xy+1=xy+3

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Solution for 2xy+1=xy+3 equation:


Simplifying
2xy + 1 = xy + 3

Reorder the terms:
1 + 2xy = xy + 3

Reorder the terms:
1 + 2xy = 3 + xy

Solving
1 + 2xy = 3 + xy

Solving for variable 'x'.

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

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

Combine like terms: 2xy + -1xy = 1xy
1 + 1xy = 3 + xy + -1xy

Combine like terms: xy + -1xy = 0
1 + 1xy = 3 + 0
1 + 1xy = 3

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

Combine like terms: 1 + -1 = 0
0 + 1xy = 3 + -1
1xy = 3 + -1

Combine like terms: 3 + -1 = 2
1xy = 2

Divide each side by '1y'.
x = 2y-1

Simplifying
x = 2y-1

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