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Q: solve by the elimination method 5x+5y=-7, 7x-2y=17
A: 5x + 5y = -7, 7x - 2y = 17 (5x + 5y = -7) * 2 (7x - 2y = 17) * 5 10x + 10y = -14 35x - 10y = 85 Add the new equations: (10x + 10y = -14) + (35x - 10y = 85) 45x = 71 x = 71/45 Plug x: 5(71/45) + 5y = -7 71/9 + 5y = -7 5y = -7 - 71/9 5y = -134/9 y = (-134/9)/5 y = -134/45 Solution set: (71/45, -134/45)
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Asked 9/26/2011 7:39:11 PM
Updated 151 days ago|1/21/2018 6:33:15 PM
1 Answer/Comment
Edited by Masamune [1/21/2018 6:33:08 PM]
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5x + 5y = -7, 7x - 2y = 17

(5x + 5y = -7) * 2
(7x - 2y = 17) * 5

10x + 10y = -14
35x - 10y = 85

Add the new equations:
(10x + 10y = -14) + (35x - 10y = 85)
45x = 71
x = 71/45

Plug x:
5(71/45) + 5y = -7
71/9 + 5y = -7
5y = -7 - 71/9
5y = -134/9
y = (-134/9)/5
y = -134/45

Solution set: (71/45, -134/45)
Added 151 days ago|1/21/2018 6:33:15 PM
This answer has been confirmed as correct and helpful.
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