Answer
$(3, 1/3)$
Elimination was more efficient.
Please see the graph.
Work Step by Step
$7x-3y = 20$
$5x+3y = 16$
$(7x+5x-3y+3y) = 20+16$
$12 x = 36$
$12x/12 = 36/12$
$x = 3$
$5x + 3y = 16$
$5*3+3y = 16$
$15 + 3y = 16$
$15 + 3y - 15 = 16-15$
$3y = 1$
$3y/3 = 1/3$
$y= 1/3$
The graph was made using graphing software.
Red line: $5x+3y=16$
Black line: $7x-3y=20$