Question

Which equation results from adding the equations in this system?

Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14.
Negative 16 y = 6
Negative 8 y = 6
Negative 8 y = negative 22
Negative 16 y = negative 22

Answer 1

To add the given equations in the system:

1. **First equation:**
\[
-6x + 4y = -8
\]

2. **Second equation:**
\[
6x - 12y = 14
\]

Now, let's add the two equations together:

\[
(-6x + 4y) + (6x - 12y) = -8 + 14
\]

Combine like terms:

- The \(x\) terms: \(-6x + 6x = 0\)
- The \(y\) terms: \(4y - 12y = -8y\)
- The constants: \(-8 + 14 = 6\)

So combining all of this, we get:

\[
0x - 8y = 6
\]

This simplifies to:

\[
-8y = 6
\]

Thus, the correct equation that results from adding the two original equations is:

\[
-8y = 6
\]

So the answer is: **Negative 8 y = 6.**