Answer:
The missing value is [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the missing value, then [tex]-\frac{2}{5}x=1[/tex].
We now multiply both sides of the equation by the reciprocal of [tex]-\frac{2}{5}[/tex] which is [tex]-\frac{5}{2}[/tex].
This will give us,
[tex]-\frac{5}{2}\times - \frac{2}{5}x= -\frac{5}{2}\times 1[/tex].
We cancel out common factors to obtain,
[tex]x= -\frac{5}{2}\times 1[/tex].
This finally simplifies to,
[tex]x= -\frac{5}{2}[/tex].
