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?
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
would it be the second answer
let temperature in CitY A be x and temperature in City B be y
4x = 3x + 8 x - 2y = -3
wait so why would it be 4x instead of 8x
you can find which option is correct by plugging in the given values and see which ones fit
4 times x = 4x
four times the temperature of city A = 4 times x = 4x
ok thank you that makes alot more sense
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.
ill plug in the values
4(3)=3(3)+8
first try x=5 and y = 4 4(5) = 3(4) + 8 20 = 12 + 8 - those fit
now plug same values into x - 2y = -3
ok gotcha
(5)-2(4)=-3
5-8=-3 -3=-3
it works
right
thanks
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