Solve the system by elimination. 4x + y = 8 -3x

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Solve the system by elimination. 4x + y = 8 -3x - y = 0

Using the elimination method: 4x + y = 8 -3x - y = 0 (4x + y = 8) * 3 12x + 3y= 24 (-3x - y = 0) * 4 -12x - 4y = 0 (12x + 3y = 24) + (-12x - 4y = 0) -y = 24 y = 24 4x + (-24) = 8 4x - 24 = 8 4x = 8 + 24 4x = 32 x = 32/4 x = 8 The solution set is: (8, -24)

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Asked 2/16/2012 4:50:54 PM

Updated 9/10/2017 3:20:56 PM

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Edited by Masamune [9/10/2017 3:20:56 PM]

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Masamune

Using the elimination method:
4x + y = 8
-3x - y = 0

(4x + y = 8) * 3
12x + 3y= 24
(-3x - y = 0) * 4
-12x - 4y = 0

(12x + 3y = 24) + (-12x - 4y = 0)
-y = 24
y = 24

4x + (-24) = 8
4x - 24 = 8
4x = 8 + 24
4x = 32
x = 32/4
x = 8

The solution set is: (8, -24)

Added 9/10/2017 1:32:51 AM

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