Solve the equation. Also, verify the result.(6x – 2)/9 + (3x + 5)/18

1.	Solve the equation. Also, verify the result.(6x – 2)/9 + (3x + 5)/18 = (1/3)
Answer» Given (6x – 2)/9 + (3x + 5)/18 = (1/3) (6x (2) – 2 (2) + 3x + 5)/18 = (1/3) (12x – 4 + 3x + 5)/18 = (1/3) (15x + 1)/ 18 = (1/3) Multiplying both sides by 18 we get (15x + 1)/18 × 18 = (1/3) × 18 15x + 1 = 6 Transposing 1 to RHS, we get = 15x = 6 – 1 = 15x = 5 Dividing both sides by 15, we get = 15x/15 = 5/15 =x = 1/3 Verification: Substituting x = 1/3 both sides, we get (6 (1/3) – 2)/9 + (3 (1/3) + 5)/18 = (1/3) (2 – 2)/9 + (1 + 5)/ 18 = 1/3 (6/18) = (1/3) (1/3) = (1/3) Thus LHS = RHS Hence, verified.

Solve the equation. Also, verify the result.(6x – 2)/9 + (3x + 5)/18 = (1/3)

Answer»

Given (6x – 2)/9 + (3x + 5)/18 = (1/3)

(6x (2) – 2 (2) + 3x + 5)/18 = (1/3)

(12x – 4 + 3x + 5)/18 = (1/3)

(15x + 1)/ 18 = (1/3)

Multiplying both sides by 18 we get

(15x + 1)/18 × 18 = (1/3) × 18

15x + 1 = 6

Transposing 1 to RHS, we get

= 15x = 6 – 1

= 15x = 5

Dividing both sides by 15, we get

= 15x/15 = 5/15

=x = 1/3

Verification:

Substituting x = 1/3 both sides, we get

(6 (1/3) – 2)/9 + (3 (1/3) + 5)/18 = (1/3)

(2 – 2)/9 + (1 + 5)/ 18 = 1/3

(6/18) = (1/3)

(1/3) = (1/3)

Thus LHS = RHS

Hence, verified.