Question

Which equation results from adding the equations in this system?

x + 6 y = 9. Negative x + 2 y = negative 15.
8 y = negative 6
8 y = 6
4 y = 24
4 y = negative 6

Answer 1

To find the resulting equation from adding the two equations in the system:

1. The original equations are:
- Equation 1: \( x + 6y = 9 \)
- Equation 2: \( -x + 2y = -15 \)

2. Now add both equations together:

\[
(x + 6y) + (-x + 2y) = 9 + (-15)
\]

This simplifies to:

\[
x - x + 6y + 2y = 9 - 15
\]

Which further simplifies to:

\[
0 + 8y = -6
\]

Thus, the resulting equation from adding these two equations is:

\[
8y = -6
\]

So among the options you've provided, the correct choice is:

**8 y = negative 6**.