Solve for x and y in the equations below x2 - y2 = 4 x + y = 2
Question 1 Report
Solve for x and y in the equations below
x2 - y2 = 4
x + y = 2
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
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