To solve the equation [tex]\( z = \frac{y}{9} \)[/tex] for [tex]\( y \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
z = \frac{y}{9}
\][/tex]
2. The goal is to isolate [tex]\( y \)[/tex] on one side of the equation. To do this, you need to eliminate the fraction by multiplying both sides of the equation by 9.
3. Perform the multiplication:
[tex]\[
9 \cdot z = 9 \cdot \frac{y}{9}
\][/tex]
4. On the right-hand side, the 9s cancel each other out:
[tex]\[
9z = y
\][/tex]
5. Thus, the solution for [tex]\( y \)[/tex] is:
[tex]\[
y = 9z
\][/tex]
In summary, solving the equation [tex]\( z = \frac{y}{9} \)[/tex] for [tex]\( y \)[/tex] gives us [tex]\( y = 9z \)[/tex].
