Question

Наибольшее число детенышей у двух лисиц и трех волчиц может быть равно 48,а у трех лисиц и двух волчиц-52.какое наибольшее число детенышей может быть у лисицы и сколько - у волчицы( на тему решение задач с помошью системных уравнений)помогите срочно(((

Answer 1

X--лисята
y--волчата

2x+3y=48  /*3    6x+9y=144
3x+2y=52  /*2    6x+4y=104      5y=40    y=8 лисят

теперь находим волчат
2x+3*8=48
2x+24=48
2x=48-24
2x=24
x=12 волчат

Answer 2

Problem Analysis

We are given two equations: 1. The sum of the number of offspring from two foxes and three wolves is 48. 2. The sum of the number of offspring from three foxes and two wolves is 52.

We need to find the maximum number of offspring a fox can have and the number of offspring a wolf has.

Solution

Let's assume the number of offspring a fox can have is represented by 'x', and the number of offspring a wolf can have is represented by 'y'.

From the given information, we can form the following equations:

Equation 1: 2x + 3y = 48 Equation 2: 3x + 2y = 52

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of elimination.

Multiplying Equation 1 by 3 and Equation 2 by 2, we get:

Equation 3: 6x + 9y = 144 Equation 4: 6x + 4y = 104

Subtracting Equation 4 from Equation 3, we get:

5y = 40 y = 8

Substituting the value of y into Equation 1, we get:

2x + 3(8) = 48 2x + 24 = 48 2x = 24 x = 12

Therefore, the maximum number of offspring a fox can have is 12, and the number of offspring a wolf has is 8.

Conclusion

The maximum number of offspring a fox can have is 12, and the number of offspring a wolf has is 8.