No because when you place x in terms of y, you get y = 1/x ( by dividing both the sides by x). This is not linear because the power of x is (-1) and for a linear relationship, you need the power of x to be (1).
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y = 2x + 1 IS a linear equation!
You mean -1 = xy , right? If we think of y against x, then it's like y = -1/x .... It's not linear. But if we consider y against 1/x , it's linear....
A linear equation has no higher powers than 1. This is linear.
No powers also, no x times y i.e. xy = 1 is not linear
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.