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

Algebra ->  Coordinate Systems and Linear Equations -> 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       Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = highway miles driven
Let c = city miles driven
h+%2B+c+=+349.5
c+=+349.5+-+h
Use (miles driven) / (miles/gallon) = gallons used
(gallons used on hwy) + (gallons used in city) = total gallons used
h%2F26+%2B+c%2F19+=+16
h%2F26+%2B+%28349.5+-+h%29%2F19+=+16
multiply both sides by 19%2A26
19h+%2B+26%28349.5+-h%29+=+16%2A19%2A26
19h+%2B+9087+-+26h+=+7904
-7h+=+-1183
h+=+169
c+=+349.5+-+h
c+=+349.5+-+169
c+=+180.5
169 miles were driven on the highway and 180.5 miles were
driven in the city
check:
h%2F26+%2B+c%2F19+=+16
169%2F26+%2B+180.5%2F19+=+16
6.5+%2B+9.5+=+16
16+=+16
OK