Question

Solve the equation for x, /3-x-1/6 +7x-1/4=13/6​

Answer 1

Answer:

x = 1 and a = 1/3

Step-by-step explanation:

2x/3 – (x – 1)/6 + (7x – 1)/4

= 2. 1/6

⇒ 2x/3 – (x – 1)/6 + (7x – 1)/4

= 13/6

(8x – 2x + 2 + 21x – 3 = 26)/12

(L.C.M. of 3, 6, 4, 6 = 12)

⇒ 27x – 1 = 26

⇒ 27x = 26 + 1

⇒ x = 27/27 = 1

Now,( 1/a) + 5x = 8

⇒ (1/a) + 5 = 8

⇒ (1/a) = 8 – 5 = 3

∵ 3a = 1

⇒ a = 1/3

∴ x = 1 and a = 1/3