How do you solve for x in $y = (1+4x)/(7-9x)$ ?

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Answer 1 · 2016-08-18T11:14:18

$x=(7y-1)/(9y+4), if, y!=-4/9$ .

Given that, $y=(1+4x)/(7-9x)$

$rArr y(7-9x)=1+4x, i.e., 7y-9xy=1+4x$ .

$rArr 7y-1=9xy+4x=x(9y+4)$ .

$rArr (7y-1)/(9y+4)=x, if, y!=-4/9$ .

How do you solve for x in y = (1+4x)/(7-9x)y = (1+4x)/(7-9x)?