Expressions are said to be equivalent if the expressions are equal, and they hold the same value.
[tex]6x - \frac{2}{5}[/tex] and [tex]\frac{6}{5x} -\frac{2}{5}[/tex] are not equivalent.
The parameter is given as:
[tex]6x - \frac{2}{5}[/tex]
Take LCM of both terms
[tex]6x - \frac{2}{5} = \frac{6 \times 5x -2}{5}[/tex]
[tex]6x - \frac{2}{5} = \frac{6 \times 5x}{5} -\frac{2}{5}[/tex]
[tex]6x - \frac{2}{5} = \frac{30x}{5} -\frac{2}{5}[/tex]
By comparison of [tex]\frac{30x}{5} -\frac{2}{5}[/tex] and [tex]\frac{6}{5x} -\frac{2}{5}[/tex]
We see that [tex]\frac{30x}{5} -\frac{2}{5}[/tex] is not equal to [tex]\frac{6}{5x} -\frac{2}{5}[/tex]
i.e.
[tex]\frac{30x}{5} -\frac{2}{5} \ne \frac{6}{5x} -\frac{2}{5}[/tex]
Hence,
We can conclude that the expressions [tex]6x - \frac{2}{5}[/tex] and [tex]\frac{6}{5x} -\frac{2}{5}[/tex] are not equivalent.
Read more about equivalent expressions at:
https://brainly.com/question/15715866
