Problema Solution

In a certain year, solar and wind energy generation totaled 1008 trillion Btu's. Wind generated 54 trillion Btu's more than eight times that generated by solar energy. How much was generated by each source?

Answer provided by our tutors

let


s = trillion Btu's generated by solar energy

w = trillion Btu's generated by wind energy


solar and wind energy generation totaled 1008 trillion Btu's


s + w = 1008


wind generated 54 trillion Btu's more than eight times that generated by solar energy


w = 54 + 8s


by solving the system of equations


s + w = 1008

w = 54 + 8s


we find


s = 106 trillion Btu's


w = 902 trillion Btu's


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the sun generated 106 trillion Btu's.

the wind generated 902 trillion Btu's.