Solve the following system of equations by using the elimination method. - 2x + 9y = - 13 6x - 3y = 15

-2x + 9y = - 13

3 (6x - 3y = 15)

18x - 9y=45

-2x + 9y = - 13

+ 18x - 9y=45

16x=32

16x/16=32/16

x=2

6x - 3y = 15

6 (2) - 3y = 15

12-3y=15

12-12-3y=15-12

-3y = 3

-3y/-3=3/-3

y=-1

Check

6x - 3y = 15

6 (2) - 3 (-1) = 15

12 + 3 = 15

15 = 15

-2x + 9y = - 13

(6x - 3y = 15)

16x = 32

x = 2, and then plug x = 2 back into either equation, I will plug it into the first equation, so:

-2 (2) + 9y = - 13 - - > 9y = - 9 - - > y = - 1, so the ordered pair is ... (2, - 1)