Question

2. In the adjacent figure the line 'l represents A)x= -2 B) y = -2 C)x= 2 st D) y = 2 -2.​

Answer 1

Step-by-step explanation:

(2x + 5) / 2} – {5x / (x – 1)} = x

{(2x + 5) (x – 1) – (5x) (2)} / {2 (x – 1)} = x

On further calculation, we get,

{2x (x – 1) + 5 (x – 1) – 10x} / (2x – 2) = x

(2x2 – 2x + 5x – 5 – 10x) / (2x – 2) = x

(2x2 – 7x – 5) / (2x – 2) = x

2x2 – 7x – 5 = x (2x – 2)

2x2 – 7x – 5 = 2x2 – 2x

-7x – 5 = - 2x

-7x + 2x = 5

-5x = 5

x = 5 / - 5

We get,

x = - 1

(ii) 1 / 5 {(1 / 3x) – 5} = 1 / 3 {3 – (1 / x)}

1 / 5 [{1 – 5 (3x)} / 3x] = 1 / 3 [{(3x – 1)} / x]

On further calculation, we get,

1 / 5 {(1 – 15x) / 3x} = 1 / 3 {(3x – 1) / x}

We get,

(1 – 15x) / 15x = (3x – 1) / 3x

3x (1 – 15x) = 15x (3x – 1)

3 (1 – 15x) = 15 (3x – 1)

3 – 45x = 45x – 15

-45x – 45x = - 15 – 3

-90x = - 18

x = 18 / 90

We get,

x = 1 / 5