Question

The point ( 4 – 5) lies on the line 5(2y – 3) + x + 8y = 3b, then find the value of b,​

Answer 1

Given, point (2,3) lies on the line. So, the point (2, 3) is

the solution of 3x - (a -1) y = 2a - 1

On putting x = 2 and y = 3 in given solution.

∴ 3 × 2 - (a-1) × 3 = 2a - 1

⇒ 6 - 3a + 3 = 2a - 1

⇒ - 3a - 2a = - 1 - 3 - 6

⇒ -5a = -10

⇒ a = 2

Also, (2, 3) is the solution of 5x + (1- 2a) y = 3b.

on putting x = 2 and y = 3 in given equation

∴ 5 × 2 + (1 - 2a) × 3 = 3b --- i)

Now, putting the value of a = 2 in eq. (i) we get

5 × 2 + (1 - 2 × 2) × 3 = 3b

⇒ 10 - 9 = 3b

⇒ 1 = 3b

⇒ 1 / 3 = b

Hence, the value of b is 1 / 3.

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