What are the coordinates of the point on the line $5x-9y=42$ such that the $x$ and $y$ coordinates are the additive inverses of each other? Express your answer as an ordered pair.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What are the coordinates of the point on the line $5x-9y=42$ such that the $x$ and $y$ coordinates are the additive inverses of each other? Express your answer as an ordered pair.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(3,-3)
What are the coordinates of the point on the line $5x-9y=42$ such that the $x$ and $y$ coordinates are the additive inverses of each other? Express your answer as an ordered pair.
train