document.write( "Question 127468: Using systems of equations(addition/elimination or substitution) solve this problem. \r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "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
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Algebra.Com's Answer #93385 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"h\" = highway miles driven
\n" ); document.write( "Let \"c\" = city miles driven
\n" ); document.write( "\"h+%2B+c+=+349.5\"
\n" ); document.write( "\"c+=+349.5+-+h\"
\n" ); document.write( "Use (miles driven) / (miles/gallon) = gallons used
\n" ); document.write( "(gallons used on hwy) + (gallons used in city) = total gallons used
\n" ); document.write( "\"h%2F26+%2B+c%2F19+=+16\"
\n" ); document.write( "\"h%2F26+%2B+%28349.5+-+h%29%2F19+=+16\"
\n" ); document.write( "multiply both sides by \"19%2A26\"
\n" ); document.write( "\"19h+%2B+26%28349.5+-h%29+=+16%2A19%2A26\"
\n" ); document.write( "\"19h+%2B+9087+-+26h+=+7904\"
\n" ); document.write( "\"-7h+=+-1183\"
\n" ); document.write( "\"h+=+169\"
\n" ); document.write( "\"c+=+349.5+-+h\"
\n" ); document.write( "\"c+=+349.5+-+169\"
\n" ); document.write( "\"c+=+180.5\"
\n" ); document.write( "169 miles were driven on the highway and 180.5 miles were
\n" ); document.write( "driven in the city
\n" ); document.write( "check:
\n" ); document.write( "\"h%2F26+%2B+c%2F19+=+16\"
\n" ); document.write( "\"169%2F26+%2B+180.5%2F19+=+16\"
\n" ); document.write( "\"6.5+%2B+9.5+=+16\"
\n" ); document.write( "\"16+=+16\"
\n" ); document.write( "OK
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