3
Given system of equations:
y = 1/x
y = x^2
Set the two expressions for y equal
x^2 = 1/x
Multiply both sides by x (x 0) to eliminate the fraction
x^3 = 1
Solve for x
x = 1
Find corresponding y
y = x^2 = 1^2 = 1
Step 5: Check for other solutions
x 0, and x^3 = 1 has only one real solution x = 1
Answer: (x, y) = (1, 1)
Added 53 days ago|11/27/2025 8:25:17 AM
This answer has been confirmed as correct and helpful.
