Tìm x và y nguyên biết

To solve the equation 6xy - 2x + 3y - 5 = 7, we can rearrange the terms to isolate the variables:

6xy - 2x + 3y = 12

Now, let's factor out the common factor of x from the first two terms:

x(6y - 2) + 3y = 12

Next, let's factor out the common factor of y from the last two terms:

x(6y - 2) + y(3) = 12

Now, we can combine like terms:

6xy - 2x + 3y = 12

Finally, we can divide both sides of the equation by the coefficient of x and y:

x(6y - 2)/2 + y(3)/2 = 12/2

3xy - x + (3/2)y = 6

Therefore, the solution to the equation 6xy - 2x + 3y - 5 = 7 is 3xy - x + (3/2)y = 6.