Question

У=3х ху=48 нужно найти х и у

Answer 1

{у = 3х
{ху = 48
Вместо у подставим во второе его значение 3х
Получим
х * 3х = 48
3х² = 48
х² = 48 : 3
х² = 16
х = √16
х = 4
х = - 4 
При х = 4 находим у = 3*4 = 12 Получилось решение {4; 12}  
При х = - 4 находим у = 3 * (-4) = - 12  Получилось решение  {-4; -12}
Ответ:  {4; 12}   {- 4; - 12}  

Answer 2

To solve for x and y, we need to use algebraic manipulation to isolate the variables.

From the given equations, we have:

у = 3х ...(1)

ху = 48 ...(2)

We can substitute equation (1) into equation (2) to eliminate y and get an expression in terms of x:

x(3x) = 48

Simplifying:

3x^2 = 48

Dividing both sides by 3:

x^2 = 16

Taking the square root of both sides:

x = ±4

Now that we have the value of x, we can use equation (1) to find the corresponding value of y:

у = 3х

When x = 4:

у = 3(4) = 12

Therefore, the solutions are:

x = 4, y = 12 or x = -4, y = -12