Question

12x -20=n (3x-5) I need help I don’t get it please help me.

Answer 1

Answer:

The value of n = 4 and  

The value of x = $\frac{5}{3}$

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = $\frac{5}{3}$

∴ we get

n = 4 and  x = $\frac{5}{3}$

Now, check that value of n and x satisfies the equation or not

12($\frac{5}{3}$) - 20 = 4( 3($\frac{5}{3}$) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = $\frac{5}{3}$