Question

Write 9 + 27/2x = - 3/2y

Answer 1

To manipulate the equation \(9 + \frac{27}{2}x = -\frac{3}{2}y\), you can express \(y\) in terms of \(x\) or vice versa. Here’s how to isolate \(y\):

1. Start with the original equation:

\[
9 + \frac{27}{2}x = -\frac{3}{2}y
\]

2. Rearrange the equation to solve for \(y\):

\[
-\frac{3}{2}y = 9 + \frac{27}{2}x
\]

3. Multiply both sides by \(-\frac{2}{3}\) to isolate \(y\):

\[
y = -\frac{2}{3}(9 + \frac{27}{2}x)
\]

4. Distributing \(-\frac{2}{3}\):

\[
y = -\frac{2}{3} \cdot 9 - \frac{2}{3} \cdot \frac{27}{2}x
\]

\[
y = -6 - 9x
\]

So, the equation in terms of \(y\) is:

\[
y = -6 - 9x
\]

This equation shows \(y\) as a function of \(x\).