Answer:
x = 1, y = 1
Step-by-step explanation:
Let A = 2^x
Let B = 3^y
A + B² = 11
A = 11 - B²
2A - B = 1
22 - 2B² - B = 1
2B² + B - 21 = 0
2B² + 7B - 6B - 21 = 0
B(2B + 7) - 3(2B + 7) = 0
(2B + 7)(B - 3) = 0
B = -7/2, B = 3
A = 11 - 3²
A = 2
2 = 2^x
x = 1
3^y = 3
y = 1
