Question

2))) -4+xy= -2y ; X=0
Gather the Y’s
Answer should be: y=4/x+2 ; y=2

Answer 1

Let's start with the equation you provided:

\[
-4 + xy = -2y
\]

We are asked to gather the \(y\)'s. Rewriting the equation gives:

\[
xy + 2y = 4
\]

Now, we can factor out \(y\):

\[
y(x + 2) = 4
\]

Next, we can solve for \(y\):

\[
y = \frac{4}{x + 2}
\]

With \(X = 0\), we substitute \(x\) with 0:

\[
y = \frac{4}{0 + 2} = \frac{4}{2} = 2
\]

So, we obtain two pieces of information:

1. The general form: \(y = \frac{4}{x + 2}\)
2. The specific solution when \(x = 0\): \(y = 2\)

Thus, the answer can be summarized as:

1. \(y = \frac{4}{x + 2}\)
2. When \(x = 0\), \(y = 2\)