SOLUTION: Using systems of equations(addition/elimination or substitution) solve this problem. A Honda Accord gets approximately 26 mpg on the highway and 19 mpg in the city. Bill drove

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Question 127468: Using systems of equations(addition/elimination or substitution) solve this problem.
A Honda Accord gets approximately 26 mpg on the highway and 19 mpg in the city. Bill drove 349.5 miles on a full tank (16 gallons) of gasoline. Using a two equation system of equations, determine approximately how many miles were driven in the city and on the highway.
I tried dividing 349.5 by 16 gallons to get mileage and using the following equations. 26H + 19C = 21.84 and H + C = 349.50
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = highway miles driven
Let = city miles driven


Use (miles driven) / (miles/gallon) = gallons used
(gallons used on hwy) + (gallons used in city) = total gallons used


multiply both sides by







169 miles were driven on the highway and 180.5 miles were
driven in the city
check:




OK
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