2t+4 over 6=4t over 9
(2t + 4) / 6 = (4t) / 9
Multiply both sides by 18
18 * (2t + 4) / 6 = 18 * (4t) / 9
3 * (2t + 4) = 2 * (4t)
6t + 12 = 8t
12 = 2t
t = 6
Substitute the answer into the original equation
((2 * 6) + 4) / 6 = (4 * 6) / 9
(12 + 4) / 6 = 24 / 9
16 / 6 = 2.666666
2.666666 = 2.666666