please help

Question

Use addition to solve the following system of equations:

 

2x+3y=5

4x+y=-5

Answer 1

2x+3y=5

4x+y=-5

 

multiple the bottom equation by -3 to get:

 

-12x-3y=15

 

add the first equation to the equation above:

2x+3y=5

-12x-3y=15

 

The y variables cancel out and you are left with the following:

-10x=20 

 

solve for X by dividing both sides by -10.

 

x=-2.

 

Plug -2 in for X into one of the original equations:

 

4(-2)+y=-5 >>> -8+y=-5

 

solve for y by adding 8 to both sides:

 

y=3