Question

X-y=2 x^2-y^2=17 Решить систему уравнений

Answer 1

X=2+y
4+4y=17
4y=13
y=3,25

x=2+3,25=5,25

Answer 2

Solving the System of Equations

To solve the system of equations x-y=2 and x^2-y^2=17, we can use the substitution method.

First, let's solve the equation x-y=2 for x: x = y + 2.

Now, substitute x = y + 2 into the equation x^2-y^2=17: (y + 2)^2 - y^2 = 17.

Expanding and simplifying: y^2 + 4y + 4 - y^2 = 17, 4y + 4 = 17, 4y = 13, y = 13/4.

Substitute y = 13/4 back into x = y + 2: x = 13/4 + 2, x = 21/4.

So, the solution to the system of equations is: x = 21/4 and y = 13/4.