Solve for x and y in the equations below x2 - y2 = 4 x + y = 2

Answer Details

We can solve for x and y by using substitution and elimination methods. Starting with the first equation: x^2 - y^2 = 4 We can rewrite this as: x^2 = 4 + y^2 Next, we substitute this expression for x^2 into the second equation: x + y = 2 x^2 + 2xy + y^2 = 4 + y^2 + 2xy + y^2 x^2 + 2xy + y^2 = 4 + 2xy + 2y^2 x^2 = 4 x = ±2 Since x cannot be negative, we can conclude that x = 2. Finally, we can substitute x = 2 into the second equation to find y: 2 + y = 2 y = 0 So, the solution is x = 2, y = 0