Question

Solve the equation and verify the result
(i)4(2x-3) +5(3x-4) = 14
(ii)2y/3-y/6 = 1/2

Answer 1

Answer:

Step-by-step explanation:

→ Answer in attachment.

→ Mark as brainliest answer.

Answer 2

To solve :

• (i)4(2x-3) +5(3x-4) = 14

Solution :

4(2x - 3) + 5(3x - 4) = 14

→ 8x - 12 + 15x - 20 = 14

→ 8x + 15x - 32 = 14

→ 23x - 32 = 14

→ 23x = 14 + 32

→ 23x = 46

→ x = 46/23

→ x = 2

∴ Required answer :

• x = 2

Verification :

4(2x - 3) + 5(3x - 4) = 14

→ 8x - 12 + 15x - 20 = 14

→ 8(2) - 12 + 15(2) - 20 = 14

→ 16 - 12 + 30 - 20 = 14

→ 4 + 10 = 14

→ 14 = 14

• Hence Verified.

To solve :

• (ii)2y/3 - y/6 = 1/2

Solution :

2y/3 - y/6 = 1/2

→ 4y - y/6 = 1/2

→ 3y/6 = 1/2

→ y/2 = 1/2

→ y = 1/2 × 2

→ y = 1

∴ Required answer :

• y = 1

Verification :

2(1)/3 - 1/6 = 1/2

→ 2/3 - 1/6 = 1/2

→ 4 - 1/6 = 1/2

→ 3/6 = 1/2

→ 1/2 = 1/2

• Hence Verified.