Answer:
[tex]z=\frac{14}{8} = 1.75[/tex]
Step-by-step explanation:
I will assume you are solving for z. To solve for a variable, we are looking to get it alone on one side of the equals side, and everything else on the other side.
Here's the given equation:
[tex]2z+\frac{3}{8}=\frac{31}{8}[/tex]
Note, I turned the mixed fraction into an improper fraction. This will make it much easier to work with.
There are two terms on the left side: [tex]2z[/tex] and [tex]\frac{3}{8}[/tex]. Only one of them has a Z in it, so lets move it to the right side of the equals sign. We can do this by subtracting each side by [tex]\frac{3}{8}[/tex].
[tex]2z+\frac{3}{8} -\frac{3}{8} = \frac{31}{8} -\frac{3}{8}[/tex]
We can then combine like terms:
[tex]2z= \frac{28}{8}[/tex]
Then, we can divide each side by 2 to turn 2z into z:
[tex]z=\frac{14}{8}[/tex]
Therefore, [tex]z=\frac{14}{8} = 1.75[/tex]
