(44 pts) amber coaches soccer and volleyball. she coaches both sports for a total of 10 h each day. the soccer practice lasts 1 h more than twice as long as the volleyball practice. (a) write a system of equations to model the situation. use v for the number of hours amber coaches volleyball in a day and s for the number of hours she coaches soccer. (b)how many hours each day does amber spend coaching each sport? show your work.

So for part a, you must first write an equation. now for soccer, it said one more hour than (add 1) twice as long as the volleyball practice(2v) so that equation would be this: s=2v+1then,it says she coaches both sports for a total of 10 hours so if i read it right that would be: s+v=10next, you must solve for one of the variables by using inverse operations. so we should solve for s.to solve for s,simply subtract v from 10.s=10-vnow, plug that into the first equation to get10-v=2v+1then, using inverse operations again you will solve for v. so, add v to the left side and right side(adding to the right will cancel it out). then you will have,10=2v+v+1 which can be simplified as 3v+1=10next subtract 1 from both sides(once again to cancel it out) and divide by 33v=9v=3now you know that she spends 3 hours playing volleyball so you must plug that back into either equation.since it will be easier to plug it back into the 2nd equation we will do that.s+3=10we know that 7 plus 3 = 10 soshe spends 7 hours coaching soccer and 3 hours coaching volleyball