Question

solve 3t-2/4-2x+3/3=2/3-t

Answer 1

(3t - 2)/4 - (2t + 3)/3 = 2/3 - t
[3 x (3t - 2) - 4 x (2t + 3)]/12 = (2 - 3t)/3
[9t - 6 - 8t - 12]/12 = (2 - 3t)/3
(t - 18)/12 = (2 - 3t)/3
3 (t - 18) = 12 (2 - 3t)
3t - 54 = 24 - 36t
3t + 36t = 24 + 54
39t = 78
t = 78/39
t = 2
Verification : L.H.S = (3t - 2)/4 - (2t + 3)/3
= (6 - 2)/4 - (4 + 3)/3
= 4/4 - 7/3 = 1 - 7/3
= (3 - 7)/3 = -4/3 R.H.S
= 2/3 - t = 2/3 - 2
= (2 - 6)/3
= -4/3
L.H.S = R.H.S