Question

Решить систему уравнения : х(2)-у(2)=24 и х-у=2 Нужно подробное решение

Answer 1

X^2 - y^2 = 24
x - y = 2 

(y+2)^2 - y^2 = 24  *
x = y + 2 

*
y^2 + 4y + 4 - y^2 = 24
4y + 4 = 24
4y = 20
y = 5 

y = 5 
x = y + 2 = 5 + 2 = 7 

Ответ
( 7 ; 5)

Answer 2

System of Equations Solution

To solve the system of equations:

1. Equation 1: x^2 - y^2 = 24 2. Equation 2: x - y = 2

We can use the method of substitution or elimination to find the values of x and y.

# Method of Substitution

We can solve Equation 2 for x and substitute it into Equation 1:

From Equation 2: x = y + 2

Substituting x into Equation 1:

(y + 2)^2 - y^2 = 24

Simplifying the equation:

y^2 + 4y + 4 - y^2 = 24

Combining like terms:

4y + 4 = 24

Subtracting 4 from both sides:

4y = 20

Dividing both sides by 4:

y = 5

Substituting the value of y back into Equation 2:

x - 5 = 2

Adding 5 to both sides:

x = 7

Therefore, the solution to the system of equations is x = 7 and y = 5.

Note: The solution is based on the provided equations and calculations. Please double-check the equations and calculations for accuracy.