Question

Solve the equation, keeping the value for x as an improper fraction.

Answer 1

x = 30/7

Explanation:

Given:
`$ (2)/(3)x = -(1)/(2)x + 5 $`

Adding
`$ (1)/(2)x $` on both sides, we get:

`$ (2)/(3)x + (1)/(2)x = 5 $`

Taking x common outside, we get:

`$  \bigg( (2)/(3) + (1)/(2) \bigg)x  = 5 $`

Taking LCM, we get:

`$ \bigg( (4 + 3)/(6) \bigg ) x = 5 $`

`$ (7)/(6)x = 5 $`

Multiplying by
`$ (7)/(6) $` to determine the value of x, we get:

`$ x = (6)/(7) . 5 $`

Therefore,
`$ x = (30)/(7) $` which is the required answer.