Q:

Which equation results from adding the equations in this system? x+6y=9 and -x+2y=-15

Accepted Solution

A:
Answer:8y=-6 or 4y=-3Step-by-step explanation:We are given two equations[tex]x+6y=9\\and\\-x+2y=-15[/tex]In order to add the equations, the left hand side of one equation will be added to the left hand side of second equation. similarly, the right hand side of first equation will be added to the right hand side of the equation so,[tex]x+6y+(-x+2y)=9+(-15)\\Combining\ alike\ terms\\x+6y-x+2y=9-15\\6y+2y=-6\\8y=-6\\Can\ also\ be\ written \ as\\4y=-3[/tex]