Amber 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?

v=2 s=5

Step-by-step explanation:

a) v=volleyball s=soccer

s × 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 = 7

solve for v

1 + 3v = 7   (2v + v = 3v; that's where the 3v comes from)

we subtract 1 from both sides

3v = 6

we divide 3 from both sides

v=2

solve for s

since we know what v equals, we substitute it in

s + 2 =7

subtract 2 from both sides

s = 5

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step-by-step explanation: