## Functions of x in Given Proportion

Suppose expressions
$f(x)=2x-3, \: g(x)=3x-1$
are in the ratio
$3:5$
.
To find
$x$
use the above information to form the equation
$\frac{2x-3}{3}=\frac{3x-1}{5}$

$5(2x-3)=3(3x-1)$

$10x-15=9x-3$

$10x-9x=15-3$

$x=12$

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