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

1 answer

To add the given equations in the system:

  1. First equation: 6x+4y=8

  2. Second equation: 6x12y=14

Now, let's add the two equations together:

(6x+4y)+(6x12y)=8+14

Combine like terms:

  • The x terms: 6x+6x=0
  • The y terms: 4y12y=8y
  • The constants: 8+14=6

So combining all of this, we get:

0x8y=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.