Question

solve the following equation and verify the the solutions 1)⅔x+5=⅕-2x​

Answer 1

Correct option is

D

x=

3

65

Wehave,

12

5x+1

−2=

9

3x−1

⟹

12

5x+1−24

=

9

3x−1

[TakingLCMonLHS]

⟹

12

5x−23

=

9

3x−1

⟹9(5x−23)=12(3x−1)[Bycross−multiplication]

⟹3(5x−23)=4(3x−1)[Ondividingbothsidesby3]

⟹15x−69=12x−4

⟹15x−12x=−4+69[Transposing12xtoLHSand−69toRHS]

⟹3x=65

⟹x=

3

65