City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?
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OpenStudy (anonymous):
City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C
OpenStudy (anonymous):
would it be the second answer
OpenStudy (welshfella):
let temperature in CitY A be x and temperature in City B be y
OpenStudy (welshfella):
4x = 3x + 8
x - 2y = -3
OpenStudy (anonymous):
wait so why would it be 4x instead of 8x
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OpenStudy (welshfella):
you can find which option is correct by plugging in the given values and see which ones fit
OpenStudy (welshfella):
4 times x = 4x
OpenStudy (welshfella):
four times the temperature of city A = 4 times x = 4x
OpenStudy (anonymous):
ok thank you that makes alot more sense
OpenStudy (welshfella):
you can solve the system of equations or as I said earlier you can plug in the values in the options to see which fit.
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OpenStudy (anonymous):
ill plug in the values
OpenStudy (anonymous):
4(3)=3(3)+8
OpenStudy (welshfella):
first try x=5 and y = 4
4(5) = 3(4) + 8
20 = 12 + 8
- those fit
OpenStudy (welshfella):
now plug same values into
x - 2y = -3
OpenStudy (anonymous):
ok gotcha
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