Question

Х-у=1 ху=6

Answer 1

Решение смотрите на фотке.....

Answer 2

Решение во вложении.

Answer 3

To solve for the values of x and y in the equations:

х - у = 1 ху = 6

We can use the method of substitution. Solving for one variable in terms of the other in the first equation, we get:

х = у + 1

Substituting this expression for x into the second equation, we get:

(у + 1)у = 6

Expanding and rearranging, we get a quadratic equation:

у^2 + у - 6 = 0

Factoring the quadratic equation, we get:

(у + 3)(у - 2) = 0

So, either у + 3 = 0 or у - 2 = 0. Therefore, either у = -3 or у = 2.

If у = -3, then from the equation x = y + 1, we have:

x = -3 + 1 = -2

If у = 2, then from the equation x = y + 1, we have:

x = 2 + 1 = 3

Therefore, the solutions to the system of equations are (x,y) = (-2,-3) or (3,2).