Solve the following linear equation: 3t-2/4 – 2t+3/3 = 2/3 – t

3t-2/4 – 2t+3/3 = 2/3 – t
⟹ 3t-2/4 – 2t+3/3 + t=2/3 ⟹ 3(3t-2)-4(2t+3)+12t/12 = 2/3
⟹ 9t-6-8t-12+12t/12 = 2/3 ⟹ 13t-18/12 = 2/3
⟹ 3x(13t-18)=2 x 12 ⟹ 39t-54=24 ⟹ 39t=24+54
⟹ 39t=78 ⟹ t=78/39=2
To check:
3t-2/4 – 2t+3/3 = 2/3 – t
⟹ 3X2-2/4 – 2×2+3/3 = 2/3 -2 ⟹ 6-2/4 – 4+3/3 = 2-6/3
⟹ 4/4 – 7/3 = -4/3 ⟹ 1/1-7/3=-4/3
⟹ 3-7/3 = -4/3 ⟹ -4/3 = -4/3
⟹ L.H.S. = R. H. S. Therefore, it is correct.

Class 8 Maths Chapter 2 Exercise 2.5 Solution in Video

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