Q:

PLEASE HELPAmber coaches soccer and volleyball. She coaches both sports for a total of 7 hours each day. The soccer practice lasts 1 hour 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?

Accepted Solution

A:
Answer:v=2 s=5Step-by-step explanation:a) v=volleyball s=soccers × v = 7" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v b) substitute equation for soccer for s (1 + 2v) + v = 7solve for v1 + 3v = 7   (2v + v = 3v; that's where the 3v comes from)we subtract 1 from both sides3v = 6we divide 3 from both sidesv=2solve for ssince we know what v equals, we substitute it ins + 2 =7subtract 2 from both sidess = 5