Answer:
none of the above
Step-by-step explanation:
The given equation can be divided into two parts:
... x - 2 = y = (1/3)x +8
Putting the left equation into standard form, it becomes
... y -x = -2
Multiplying it by 5 gives ...
... 5y -5x = -10 . . . . . . . . . . . matches answer choices A or B
Please note there is no obvious reason why the equation is multiplied by 5. (It is no longer in standard form when there is a factor of 5 that can be removed.)
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Putting the right equation into standard form, it becomes
... y = (1/3)x + 8
... 3y = x + 24 . . . . . multiply by 3
... 3y -x = 24 . . . . . . subtract x . . . . . . matches answer choice D
Solution:
An appropriate system of equations is ...
These have solution (x, y) = (15, 13) as the original equation does.
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Comment on the question
In cases like this, where none of the offered answers has any relevance to the problem, I suggest you have your teacher show you how to work this problem and check the resulting answer.
