y^2+3xy=1

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


Simplifying
y2 + 3xy = 1

Reorder the terms:
3xy + y2 = 1

Solving
3xy + y2 = 1

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
3xy + y2 + -1y2 = 1 + -1y2

Combine like terms: y2 + -1y2 = 0
3xy + 0 = 1 + -1y2
3xy = 1 + -1y2

Divide each side by '3y'.
x = 0.3333333333y-1 + -0.3333333333y

Simplifying
x = 0.3333333333y-1 + -0.3333333333y

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