Question

{(х-4) у +13=х(у-3) +15-2(х-4) {(х+5)+ху =8х-9+у(х+5)

Answer 1

$x = 2 + \frac{4}{5} y \\ (x + 5) + xy = 8x - 9 + y \times (x + 5)$

1. Определим y:

$( 2 + \frac{4}{5} y + 5) + (2 \times + \frac{4}{5} y)y = 8(2 + \frac{4}{5} y) - 9 + y \times (2 + \frac{4}{5} y + 5)$

$y = 0$

2. Определим х:

$x = 2 + \frac{4}{5} \times 0$

$x = 2$

Ответ:

$(x.y) = (2.0)$

Answer 2

It looks like you've provided a system of two equations with two variables, x and y. Let's solve this system of equations step by step.

The given equations are:

1. (x - 4)y + 13 = x(y - 3) + 15 - 2(x - 4)
2. (x + 5) + xy = 8x - 9 + y(x + 5)

We can start by simplifying and expanding these equations:

1. xy - 4y + 13 = xy - 3x + 15 - 2x + 8 Now, let's cancel out the xy terms by subtracting xy from both sides of the equation:

   • 4y + 13 = - 3x + 15 - 2x + 8

2. x + 5 + xy = 8x - 9 + yx + 5y We can rearrange this equation to group like terms: xy - yx + x - 8x - 5y + 5 + 9 = 0 Now, we can simplify this equation:

   • 7x - 6y + 14 = 0

Now, we have the following two equations:

1. -4y + 13 = -3x + 15 - 2x + 8
2. -7x - 6y + 14 = 0

Let's simplify equation 1 further:

-4y + 13 = -5x + 23

Now, let's isolate y in equation 1:

-4y = -5x + 23 - 13 -4y = -5x + 10

Divide both sides by -4:

y = (5x - 10) / 4

Now, let's use this value of y in equation 2:

-7x - 6((5x - 10) / 4) + 14 = 0

Simplify and solve for x:

-7x - (15x - 30) + 14 = 0 -7x - 15x + 30 + 14 = 0 -22x + 44 = 0

Now, isolate x:

-22x = -44 x = (-44) / (-22) x = 2

Now that we have found the value of x, we can substitute it back into the expression for y from equation 1:

y = (5x - 10) / 4 y = (5 * 2 - 10) / 4 y = (10 - 10) / 4 y = 0 / 4 y = 0

So, the solution to the system of equations is x = 2 and y = 0.