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.Com
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)   (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS

-80F degrees, occurred (in Alaska) and the highest recorded temperature 134F degrees (in... (answered by CubeyThePenguin)
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in... (answered by Theo)
The highest recorded temperature(134○) in the United States was in Death Valley,... (answered by checkley77)
I just need to make sure this one is right...Here is the question: In Detroit, the... (answered by checkley71)
If it is -10 in Alaska and -5 in New York, what is the difference in... (answered by richard1234)
Mr. Fairbanks invested half his money in land, a tenth in stock, and a twentieth in... (answered by rfer)
Mr. Fairbanks invested half of his money in land, a tenth in stock, and a twentieth in... (answered by checkley71)
alex hauled a load of pipe from fairbanks to deadhorse on a highway in a record time of... (answered by josgarithmetic)
At 2pm in Anchorage, Alaska the temperature is 11 degrees fahrenheit, at 9pm the... (answered by Earlsdon)