Which equation results from adding the equations in this system?

Question

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.