KnowledgeBoat Logo
|

Mathematics

Solve:

13x−6=52\dfrac{1}{3}x - 6 = \dfrac{5}{2}

Linear Eqns One Variable

3 Likes

Answer

13x−6=52⇒13x=52+6⇒13x=52+61\dfrac{1}{3}x - 6 = \dfrac{5}{2}\\[1em] ⇒ \dfrac{1}{3}x = \dfrac{5}{2} + 6\\[1em] ⇒ \dfrac{1}{3}x = \dfrac{5}{2} + \dfrac{6}{1}

Since L.C.M. of denominators 3, 2 and 1 = 6, multiply each term with 6 to get:

⇒1×63x=5×62+6×61⇒ \dfrac{1 \times 6}{3}x = \dfrac{5 \times 6}{2} + \dfrac{6 \times 6}{1}

⇒ 1 ×\times 2x = 5 ×\times 3 + 6 ×\times 6

⇒ 2x = 15 + 36

⇒ 2x = 51

⇒ x = 512\dfrac{51}{2}

⇒ x = 251225\dfrac{1}{2}

Hence, the value of x is 251225\dfrac{1}{2}.

Answered By

2 Likes

Related Questions