Answer
Solution: $(1,\frac{1}{3})$
Work Step by Step
$y = \frac{1}{3} x$ Equation $(1)$
$5x-3y = 4$ Equation $(2)$
Substituting $y$ from Equation $(1)$ in Equation $(2)$
$5x - 3 (\frac{1}{3}x) = 4$
$5x -x = 4$
$4x = 4$
$x = 1$
Substituting $x$ value in Equation $(1)$
$y = \frac{1}{3} x$
$y = \frac{1}{3} (1)$
$y = \frac{1}{3} $
Solution: $(1,\frac{1}{3})$