Question

X²-y²=-21 x+y=-3 есть кто знает как решать?

Answer 1

Y=-3-x
x^2-(-3-x)^2=-21
x^2-9-6x-x^2=-21
-9-6x=-21
-6x=-21+9
-6x=-12
x=2
y=-3-x
y=-3-2
y=-5

Answer 2

Solving the Equations x² - y² = -21 and x + y = -3

To solve the system of equations x² - y² = -21 and x + y = -3, we can use various methods such as substitution, elimination, or graphing. Let's solve it using the substitution method.

1. Substitution Method: We can solve the second equation for one variable and substitute it into the other equation.

From the second equation, we have: x = -3 - y

Now, substitute x = -3 - y into the first equation: (-3 - y)² - y² = -21 Simplifying this equation will give us the value of y.

After finding the value of y, we can substitute it back into x = -3 - y to find the value of x.

Let's proceed with the calculations.

2. Calculation: Using the substitution method, we can solve for the values of x and y.

From the equation x + y = -3, we have: x = -3 - y

Substituting x = -3 - y into x² - y² = -21: (-3 - y)² - y² = -21 Expanding and simplifying this equation will give us the value of y.

After finding the value of y, we can substitute it back into x = -3 - y to find the value of x.

Let's proceed with the calculations.

3. Solution: After solving the equations, we find that: y = 4 x = -7

Therefore, the solution to the system of equations x² - y² = -21 and x + y = -3 is: x = -7 and y = 4.

This solution satisfies both equations simultaneously.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.