Solve : (3t + 5)/4 - 1 = (4t - 3)/5

Solution:

Given, the equation is (3t + 5)/4 - 1 = (4t - 3)/5

We have to solve the equation

On solving the equation for t,

(3t + 5)/4 - 1 = (4t - 3)/5

3t/4 + 5/4 - 1 = 4t/5 - 3/5

3t/4 + 1/4 = 4t/5 - 3/5

By transposing,

3t/4 - 4t/5 = -3/5 - 1/4

t(15 - 16)/20 = (-12 - 5)/20

-t/20 = -17/20

t = 17

Therefore, the value of t is 17.

✦ Try This: Solve : (t + 4)/3 - 2 = (2t - 5)/9

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

NCERT Exemplar Class 8 Maths Chapter 4 Problem 68

Solve : (3t + 5)/4 - 1 = (4t - 3)/5

Summary:

On solving the equation (3t + 5)/4 - 1 = (4t - 3)/5, we get t = 17

☛ Related Questions:

• Solve : (2y - 3)/4 - (3y - 5)/2 = y + 3/4
• Solve : 0.25 (4x - 5) = 0.75x + 8
• Solve : (9 - 3y)/(1 - 9y) = 8/5