Final answer:
The system of equations was solved using substitution. However, the calculated solution (x = 4, y = 1/3) does not match any of the provided answer choices, suggesting there may be a typo in the original problem or in the solution process.
Step-by-step explanation:
To solve the system of equations y = 1/3x - 1 and x = -3y + 5, we can use substitution or elimination. In this case, substitution may be simpler.
Starting with the second equation, x = -3y + 5, we can substitute the expression for y from the first equation into this equation.
Therefore, substituting y from y = 1/3x - 1 into x = -3y + 5, we get:
- x = -3(1/3x - 1) + 5
- x = -x + 3 + 5
- 2x = 8
- x = 4
Now we substitute x back into the first equation to find y:
- y = 1/3(4) - 1
- y = 4/3 - 1
- y = 4/3 - 3/3
- y = 1/3
However, it seems there might have been a mistake, as none of the provided answer choices match this result. Please double-check the equations provided and the solution again, as typos in the original problem can lead to an incorrect solution.