Question

Decide what values of the variable cannot be solutions for each equation.


`(1)/(4x) - (2)/(x) = 3`

Answer 1

`→ (1)/(4x) - (2)/(x) = 3 \\ (1)/(4x) - ((2 * 4))/((x * 4)) = 3 \\ (1)/(4x) - (8)/(4x) = 3 \\ ((1 - 8))/(4x) = 3 \\ (( - 7))/(4x) = 3 \\ (1)/(x)= ((3 * 4))/(( - 7)) \\ (1)/(x)= (12)/(( - 7)) \\ \boxed{x = (( - 7))/(12) }`

• x = -7/12 is the right answer.

Answer 2

Explanation:

`(1)/(4x) - (2)/(x) = 3 \\ (1)/(4x) - (2)/(x) * (4)/(4) = 3 \\ (1)/(4x) - (8)/(4x) = 3 \\ (1 - 8)/(4x) = 3 \\ ( - 7)/(4x) = 3 \\ 4x = ( - 7)/(3) \\ x = ( - 7)/(12) \\ thank \: you`