SOLUTION: Summer is coming to a close in Alaska, and the temperatures are falling. The temperature in Fairbanks is -2 times the temperature in Barrow. The temperature in Barrow is 6 degrees

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Summer is coming to a close in Alaska, and the temperatures are falling. The temperature in Fairbanks is -2 times the temperature in Barrow. The temperature in Barrow is 6 degrees       Log On


   



Question 939374: Summer is coming to a close in Alaska, and the temperatures are falling. The temperature in Fairbanks is -2 times the temperature in Barrow. The temperature in Barrow is 6 degrees more than -2 times the temperature in Fairbanks. What are the temperatures in Fairbanks and Barrow?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Summer is coming to a close in Alaska, and the temperatures are falling.
The temperature in Fairbanks is -2 times the temperature in Barrow.
The temperature in Barrow is 6 degrees more than -2 times the temperature in Fairbanks.
What are the temperatures in Fairbanks and Barrow?
:
let f = Fairbanks temp;
let b = Barrow's temp
:
Write an equation for each statement
:
"The temperature in Fairbanks is -2 times the temperature in Barrow."
f = -2b
;
The temperature in Barrow is 6 degrees more than -2 times the temperature in Fairbanks.
b = -2f + 6
replace f with -2b (from the 1st statement)
b = -2(-2b) + 6
b = +4b + 6
-6 = 4b - b
-6 = 3b
b = -6/3
b = -2 degrees at Point Barrow
then
f = -2(-2)
f = +4 degrees in Fairbanks