[SOLVED] Will these PSUs supply my system well?

Both are very low-end power supply units. Try to grab some other high quality PSU, if possible. Even though, those models might work on your PC, but I would recommend you to get the following PSU models and brands. These are high quality units. Look for similar SKUs.

SEASONIC PRIME, and Prime Ultra, or FOCUS Plus GOLD, Focus Plus Platinum.

CORSAIR AXi, RMi, RMx 550/650W, SF, HX 2017, HXi.

FSP - Hydro PTM 550/650W.

Cooler Master - MasterWatt Maker MiJ, V series 550/650W.

Antec - High Current Pro, High Current Platinum, Earthwatts Pro Gold, HCG Gold.

Super Flower - Leadex Gold II.

be Quiet! - Dark Power Pro 11, Straight Power 11, Dark Power Pro P10.

EVGA -Supernova G1+, GQ, P2, T2, G2, B2, BQ =>750.
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As long as you aren't planning on any serious OC'ing, those low end PSUs will work fine for that CPU/GPU combo. I've built with several EVGA 500W 80plus white PSUs and all have been fine. And still are.
Johnny Guru did a review on the EVGA 500W 80plus white awhile back, and gave it a rather high passing grade. Unfortunately, his site is purged of older reviews now, so I can't post a link to it any more.