SOLUTION: x^2+y^2=11 2x^2-y^2=-2

Question 147119: x^2+y^2=11
2x^2-y^2=-2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Solve for

Move onto the second equation.

Plug in

Distribute

Combine like terms on the left side.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce. Make a special note of this since we'll use this later.

Take the square root of both sides.

or Break up the expression

So our x answers are or

Go back to the first isolated equation

Plug in

Combine like terms.

Take the square root of both sides.

or Break up the expression.

or Simplify

So our y answers are or

So the solutions are

, and

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