Solve : (3t - 2)/3 + (2t + 3)/2 = t + 7/6

Solution:

Given, the equation is (3t - 2)/3 + (2t + 3)/2 = t + 7/6

We have to solve the equation

On solving the equation for t,

(3t - 2)/3 + (2t + 3)/2 = t + 7/6

3t/3 - 2/3 + 2t/2 + 3/2 = t + 7/6

t - 2/3 + t + 3/2 = t + 7/6

2t + 3/2 - 2/3 = t + 7/6

2t + (9 - 4)/6 = t + 7/6

2t + 5/6 = t + 7/6

By transposing,

2t - t = 7/6 - 5/6

t = (7 - 5)/6

t = 2/6

t = 1/3

Therefore, the value of t is 1/3.

✦ Try This: Solve : (t - 3)/4 + (4t + 5)/3 = 3t + 9/5

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 74

Solve : (3t - 2)/3 + (2t + 3)/2 = t + 7/6

Summary:

On solving the equation (3t - 2)/3 + (2t + 3)/2 = t + 7/6, we get t = 1/3

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