KnowledgeBoat Logo
|

Mathematics

Solve (question no. 2-22) for x :

x−17x−14=x−37x−26\dfrac{x - 1}{7x - 14} = \dfrac{x - 3}{7x - 26}

Linear Eqns One Variable

5 Likes

Answer

x−17x−14=x−37x−26\dfrac{x - 1}{7x - 14} = \dfrac{x - 3}{7x - 26}

By cross multiplying, we get :

⇒ (x - 1)(7x - 26) = (x - 3)( 7x - 14)

⇒ x(7x - 26) - 1(7x - 26) = x( 7x - 14) - 3( 7x - 14)

⇒ 7x2 - 26x - 7x + 26 = 7x2 - 14x - 21x + 42

⇒ 7x2 - 33x + 26 = 7x2 - 35x + 42

⇒ 7x2 - 7x2 - 33x + 35x = 42 - 26

⇒ 2x = 16

⇒ x = 162\dfrac{16}{2}

⇒ x = 8

Hence, the value of x is 8.

Answered By

2 Likes

Related Questions