Question

Plz solve with explanation.​

Answer 1

Answer:

4x-5x/ 3x²=5/3x-5

x/3x²=5/3x-5

1/3x=1/3x

1=1

Answer 2

Hence, the required value of x is 10/21.

Step-by-step explanation:

Given:-

(4/3x) - (2/x) = [3/(3x - 5)]

To find:-

Value of x = ?

Solution:-

Given expression,

(4/3x) - (2/x) = [3/(3x - 5)]

Variable cannot be equal to any of the values 0, 5/3. Since division by zero is not defined. Multiply both sides of the equation by 3x (3x - 5), the least common multiple of 3x, x, 3x - 5.

→ (3x - 5) × 4 - (9x - 15) × 2 = 3x × 5

→ 12x - 20 - (9x - 15) × 2 = 3x × 5

→ 12x - 20 - 18x - 30 = 3x × 5

→ -6x -20 + 30 = 3x × 5

→ - 6x + 10 = 3x × 5

→ -6x + 10 = 15x

→ -6x + 10 - 15x = 0

→ -21x + 10 = 0

→ - 21x = -10

→ x = -10/-21

→ x = 10/21

Hence, the required value of x is 10/21.