In a cetain year, solar and wind energy generation totaled 1034 trillion Btu's. Wind generated 53 trillion Btu's more than eight times that generated by solar energy.
How much was generated by each source?
W = 8S + 53
W + S = 1034
Substitute 8S+53 for W in the second equation and calculate S. Then use first equation to find W. Check by putting both values into the second equation.
To solve this problem, let's break it down step by step.
Let's assume the amount generated by solar energy is "x" trillion Btu's.
According to the information given, wind energy generated 53 trillion Btu's more than eight times that generated by solar energy. So, the amount generated by wind energy can be expressed as (8x + 53) trillion Btu's.
We also know that the total generation from both sources is 1034 trillion Btu's. So, we can set up the equation:
x + (8x + 53) = 1034
Now, we can solve this equation to find the value of x, which represents the amount generated by solar energy.
Combining like terms:
9x + 53 = 1034
Subtracting 53 from both sides:
9x = 981
Dividing both sides by 9:
x = 109
Therefore, solar energy generated 109 trillion Btu's, and wind energy generated 8 times that plus 53, which is 877 trillion Btu's (8 * 109 + 53).