Systems of equation word problem

Question

A Nissan Sentra get approximately 32 mpg on the highway and 18 mpg in the city. You drove 265 miles on a full tank (12 gallons) of gasoline. Approximately how many miles did you drive in the city and how many miles did you drive on the highway?

Answer 1

h=# gallons used on the highway

c=# gallons used in the city

h+c=12

32h+18c=265

h+c=12 ----> c=12-h

substitute

32h+18(12-h)=265

32h+216-18h=265

14h+216=265

14h=265-216

14h=49

h=49/14

h=7/2

h=3.5 gallons used on the highway

c=12-3.5=8.5 gallons used in the city

32*3.5=112 miles driven on the highway

18*8.5=153 miles driven in the city