At a hockey game, a vender sold a combined total of 156 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

They sold 104 sodas and 52 hotdogs

Step-by-step explanation: If we represent sodas as x and hotdogs as y then x+y=156. There is twice as many sodas as hotdogs so x=2y. We can then substitute x for 2y so the equation would be 2y+y=156 or 3y=156. We divide both by three and get y=52 we plug that back in to the equation x=2y and we get x=104. We then check to make sure it is correct and get 104+52=156 and 104/2=52. Hope this helps.

an altitude of 15,000 feet

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.