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If 3xm + 2ym - 2yn - 3xn = 0 and m ≠ n , then what is the value of y in terms of x?
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If 3xm + 2ym - 2yn - 3xn = 0 and m ≠ n , then what is the value of y in terms of x?

User Artouiros
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1 Answer

1 vote
We have:


3xm+2ym-2yn-3xn=0\\\\(3x+2y)m-(2y+3x)n=0\\\\(3x+2y)m-(3x+2y)n=0\\\\(3x+2y)(m-n)=0\\\\\\3x+2y=0\qquad\vee\qquad m-n=0\\\\2y=-3x\quad|:2\qquad\vee\qquad m=n\\\\\\y=-(3x)/(2)\qquad\vee\qquad m=n

but we know, that
m\\eq n so the answer is:


\boxed{y=-(3x)/(2)}
User Vibol
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