Question

Find all solutions of the systems of equations below using any method. x²+y²=1 ; x²+y²=4

Answer 1

There´s no solution to this system

Explanation:

We have

`x^2+y^2=1 \\x^2+y^2=4`

So by using any method we will eliminate both variables, for example by using elimination method.

We will multiply the first equation by (-)

so we have

`-x^2-y^2=-1 \\x^2+y^2=4\\ 0=3`

Plotting the two equations we will have two circles so now its obvious that we don´t have any solution because we don´t have any intersection