Convert them to slope intercept form.
3x + 5y = 14
Subtract 3x from both sides.
5y = 14 - 3x
Divide by 5 on both sides.
y = -3/5x + 14/5
6x - 4y = 9
Subtract 6x from both sides.
-4y = 9 - 6x
Divide by -4 on both sides.
y = 3/2x - 9/4
Graphing both of them will get you to picture.
2.405 rounded is 2.5
1.375 rounded is 1.4
(2.5, 1.4)
(5/2, 4/3) divided is (2.5, 1.33) which is the closest you can get.
So (5/2, 4/3) is your answer.