SOLUTION: Solve using the system of Linear Equations Pierre has found that his new car gets 33 miles per gallon on the highway and 27 miles per gallon in the city. He recently drove 317 m

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Question 849300: Solve using the system of Linear Equations
Pierre has found that his new car gets 33 miles per gallon on the highway and 27 miles per gallon in the city. He recently drove 317 miles on 10 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates for fuel efficiency.
R is fuel rate in miles per gallons; highlight_green%28R%2Ad=v%29, d is distance and v is volume of fuel.

The question asks for miles each of highway and of city driving, so call these x and y.

________________MGP___________distance____________fuel volume
Highway_________33______________x_________________33x
City____________28______________y_________________28y
TOTALS_________________________317________________10

The totals indicate what the two simultaneous equations are. Solve that system for x and y. You might likely find substitution method the most comfortable.