NO
On $50,000/yr, the typical $338,460 home in Tucson, AZ needs $103,944/yr ($2,425/mo). Your gap: $-53,944 — housing would be 58.2% of your gross income.
The math
338,460 price − 10% down (33,846) = 304,614 loan
30-yr fixed at 6.95% on 304,614 = 2,016/mo principal+interest
+ 409/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
2,425/mo PITI ÷ 0.28 = 8,662/mo → 103,944/yr required
against Zillow ZHVI 2026-08 and the 6.95% FRED 30-yr rate (2026-09-17).
What salary WOULD clear Tucson, AZ?
You need about $103,944/yr for the typical home. That's $53,944 more than $50,000.