<PRE><B>Question 916938</B>
Uniform Rates, fuel consumption.
RV=D  for rate, fuel volume, distance; V is gallons, D is miles.



________________rate__________volume___________distance
CITY____________17
HWY_____________45
Totals__________22____________12.174


Assign variables, first impulse is for trying the volumes.


________________rate__________volume___________distance
CITY____________17______________x_______________17x
HWY_____________45______________y_______________45y
Totals__________22____________12.174___________(22)(12.174)


The rest of the table cells are also filled with proper expressions or numbers.  This table indicates two linear equations in the unknown volume variables, x and y.


{{{highlight_green(system(x+y=12.174,17x+45y=(22)(12.174)))}}}


Solve that system.
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