SOLUTION: To Whomever can assist, Thank you! This has to do with the elimination by addition method and I'm unsure of how to solve for the system. x - 2y = -12 2x + 9y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: To Whomever can assist, Thank you! This has to do with the elimination by addition method and I'm unsure of how to solve for the system. x - 2y = -12 2x + 9y = 2      Log On


   

Question 60133This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank you!
This has to do with the elimination by addition method and I'm unsure of how to solve for the system.
x - 2y = -12
2x + 9y = 2 This question is from textbook Elementary and Intermediate Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
E1: x - 2y = -12
E2: 2x + 9y = 2
Mutiply E1 by -2 and add E1+E2 and the x's will be eliminated leaving you able to solve for y.
E1: -2(x-2y)=-2(-12) ---> -2x+4y=24
:
-2x+4y=24
2x+9y=2
__________
0+13y=26
13y=26
13y/13=26/13
y=2
:
Substitute 2 in for y in either equation and solve for x:
x-2(2)=-12
x-4=-12
x-4+4=-12+4
x=-8
The solution is: (x,y)=(-8,2)
Happy Calculating!!!