Question

Which statement is true about the equation fraction 4 over 5z = fraction 1 over 5z − 4 + 6?

Answer 1

Assuming your question asks for what values of z satisfy
$\frac{4}{5z} = \frac{1}{5z} -4+6$, we start by simplifying the terms  $-4+6$. This will get us $\frac{4}{5z} = \frac{1}{5z} +2$
Next, we can multiply both sides by 5z, to get $4=1+10z$ Subtract 1 on both sides to get $3=10z$ Finally, we isolate z by dividing both sides by 10. 
z=$\frac{3}{10}$