NO
On $50,000/yr, the typical $269,080 home in Detroit, MI needs $79,331/yr ($1,851/mo). Your gap: $-29,331 — housing would be 44.4% of your gross income.
The math
269,080 price − 10% down (26,908) = 242,172 loan
30-yr fixed at 6.47% on 242,172 = 1,526/mo principal+interest
+ 325/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
1,851/mo PITI ÷ 0.28 = 6,611/mo → 79,331/yr required
against Zillow ZHVI 2026-05 and the 6.47% FRED 30-yr rate (2026-06-18).
What salary WOULD clear Detroit, MI?
You need about $79,331/yr for the typical home. That's $29,331 more than $50,000.