Using elimination, find the common solution for these equations.
x - 2y = 14
x + 3y = 9

x - 2y = 14 x + 3y = 9 Subrtract eq. 1 from eq. 2: (x + 3y = 9) - (x - 2y = 14): 5y = -5 y = -5/5 = -1 Plug y = -1 x - 2(-1) = 14 x + 2 = 14 x = 14 - 2 x = 12 Solution set: (12, -1)

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Asked 5/7/2013 4:13:44 PM

Updated 1/13/2016 8:20:42 AM

1 Answer/Comment

Edited by Andrew. [1/13/2016 8:20:36 AM]

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x - 2y = 14

x + 3y = 9

Subrtract eq. 1 from eq. 2:

(x + 3y = 9) - (x - 2y = 14):

5y = -5

y = -5/5 = -1

Plug y = -1

x - 2(-1) = 14

x + 2 = 14

x = 14 - 2

x = 12

Solution set: (12, -1)

x + 3y = 9

Subrtract eq. 1 from eq. 2:

(x + 3y = 9) - (x - 2y = 14):

5y = -5

y = -5/5 = -1

Plug y = -1

x - 2(-1) = 14

x + 2 = 14

x = 14 - 2

x = 12

Solution set: (12, -1)

Added 1/13/2016 8:20:42 AM

This answer has been confirmed as correct and helpful.

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