Question

$\frac{4t - 6}{3 + 8t} = \frac{ - 4}{3}$
Solve the following:​

Answer 1

Answer:

3/22

Step-by-step explanation:

→ (4t - 6)/(3 + 8t) = -4/3

We simply have to solve it, to find out the value of t. So, let's start by Cross multiplying it,

→ 3(4t - 6) = -4(3 + 8t)

Solve the brackets,

→ 12t - 18 = -12 - 32t

→ 12t + 32t = - 12 + 18

→ 44t = 6

Divide by 44 on both sides

→ 44t/44 = 6/44

→ t = 3/22

Hence, the value of t is 3/22.

Answer 2

Answer:

$\sf( \frac{4t - 6}{3 + 8t} ) = \frac{ - 4}{3} \\ \sf12t - 18 = - 12 + 32t \\ \sf12t - 32t = 18 - 12 \\ \sf - 20t = 6 \\ \sf - 10t = 3 \\ \sf t = 13$

ok