2x+3y-13=5xy-30

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Solution for 2x+3y-13=5xy-30 equation:


Simplifying
2x + 3y + -13 = 5xy + -30

Reorder the terms:
-13 + 2x + 3y = 5xy + -30

Reorder the terms:
-13 + 2x + 3y = -30 + 5xy

Solving
-13 + 2x + 3y = -30 + 5xy

Solving for variable 'x'.

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

Add '-5xy' to each side of the equation.
-13 + 2x + -5xy + 3y = -30 + 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-13 + 2x + -5xy + 3y = -30 + 0
-13 + 2x + -5xy + 3y = -30

Add '13' to each side of the equation.
-13 + 2x + -5xy + 13 + 3y = -30 + 13

Reorder the terms:
-13 + 13 + 2x + -5xy + 3y = -30 + 13

Combine like terms: -13 + 13 = 0
0 + 2x + -5xy + 3y = -30 + 13
2x + -5xy + 3y = -30 + 13

Combine like terms: -30 + 13 = -17
2x + -5xy + 3y = -17

Add '-3y' to each side of the equation.
2x + -5xy + 3y + -3y = -17 + -3y

Combine like terms: 3y + -3y = 0
2x + -5xy + 0 = -17 + -3y
2x + -5xy = -17 + -3y

Reorder the terms:
17 + 2x + -5xy + 3y = -17 + -3y + 17 + 3y

Reorder the terms:
17 + 2x + -5xy + 3y = -17 + 17 + -3y + 3y

Combine like terms: -17 + 17 = 0
17 + 2x + -5xy + 3y = 0 + -3y + 3y
17 + 2x + -5xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
17 + 2x + -5xy + 3y = 0

The solution to this equation could not be determined.

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