Trekking =! climbing. You wouldn't make it unless you have significant climbing experience.
First off without climbing experience and high altitude climbing experience (over 5000 m) you have almost no chance. Even something like Aconcagua (6961 m) which may not require ropes, ice axe etc, still requires training and acclimatization Almost all of Sagarmatha is not highly technical climbing, apart from the famous Khumbu ice-fall and the Hillary Step. The Lhotse face is on fixed rope, and the Geneva Spur and Yellow Band require ~100 m of rope to ascend in a scramble.
Generally people who climb these sorts of heights have an acclimatization process - they go up, then come back down for a couple of days, then head up again to stay at the higher altitude, rinse and repeat, until they are in a position from which to summit (generally the South Col from the Nepal side). This process generally takes about 40-60 days. The South Col is at 7,900 m, at an altitude called the "death zone" because at about this altitude, the body can no longer extract oxygen efficiently from the air and will slowly die without supplemental oxygen. A summit climb from here takes about 10-12 hours on supplemental oxygen, despite being only about 2 km to the summit from the South Col.
Trekking gear is quite different to climbing gear. Most climbers who ascend high peaks like this have things like harnesses, ice axes, crampons, ropes, tents, and last, but certainly not least in terms of weight - Oxygen tanks. Without all of these won't make it. Climbing clothes are significantly warmer and more protective than typical trekking clothes, needing to withstand much much colder temperatures (think -40 F/C) and stronger winds and rougher wear/tear (rocks, ice, sharp implements etc).
Even if you had the right gear, you wouldn't have the resources to carry all the O2 you need to the South Col and have enough in reserve to get back down again or wait out a storm. The number of people that reach the summit of Sagarmatha/Chomolungma without supplemental oxygen are very few, and they are all very experienced climbers and all do it by rapid alpine style ascent, heading up and back fast, hoping to beat the effects of altitude sickness before they come into play. I believe they also pre-acclimatize to some extent.