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Question 1079864: Please help me solve this question. Roy,Sally, and Jeff drive a total of 50 mi to work each day. Sally drives twice as far as Roy, and Jeff drives 10mi farther than Sally. Use a system of three equations in three unknowns to find how far each person drives each day.
Answer by ikleyn(52754) (Show Source):
You can put this solution on YOUR website! .
S = 2R, (1)
J = S + 10, (2)
R + S + J = 50. (3)
The setup is done. You have 3 equations in 3 unknowns.
From (2), J = S + 10 = 2R + 10, (4)
and you can substitute ((1) and (4) into (3) to get 1 equation for 1 unknown
R + 2R + (2R+10) = 50.
Now, I am sure, it is an easy exercise for you to complete the solution.
Good luck!
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