KnowledgeBoat Logo
|

Mathematics

Solve:

2x3−3x8=712\dfrac{2x}{3} - \dfrac{3x}{8} = \dfrac{7}{12}

Linear Eqns One Variable

4 Likes

Answer

2x3−3x8=712\dfrac{2x}{3} - \dfrac{3x}{8} = \dfrac{7}{12}

Since L.C.M. of denominators 3 and 8 = 24, multiply each term with 24 to get:

⇒2x×243−3x×248=7×2412⇒ \dfrac{2x \times 24}{3} - \dfrac{3x \times 24}{8} = \dfrac{7 \times 24}{12}

⇒ 2x ×\times 8 - 3x ×\times 3 = 7 ×\times 2

⇒ 16x - 9x = 14

⇒ 7x = 14

⇒ x = 147\dfrac{14}{7}

⇒ x = 2

Hence, the value of x is 2.

Answered By

2 Likes

Related Questions