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have the same solution

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have the same solution

by sanju09 » Fri Jun 18, 2010 4:46 am
For what value of k will the two equations 2 x + 4 = 4 (x - 2) and -x + k = 2 x - 1 have the same solution?
(A) 20
(B) 17
(C) 6
(D) 2
(E) -1
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by kvcpk » Fri Jun 18, 2010 5:08 am
sanju09 wrote:For what value of k will the two equations 2 x + 4 = 4 (x - 2) and -x + k = 2 x - 1 have the same solution?
(A) 20
(B) 17
(C) 6
(D) 2
(E) -1
2 x + 4 = 4 (x - 2)
x + 2 = 2x -4
x = 6

-x + k = 2 x - 1
3x = k+1
k = 18-1
k = 17

B
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by amising6 » Fri Jun 18, 2010 5:11 am
For what value of k will the two equations 2 x + 4 = 4 (x - 2) and -x + k = 2 x - 1 have the same solution?
(A) 20
(B) 17
(C) 6
(D) 2
(E) -1

2 x + 4 = 4 (x - 2)
12=2x
x=6

using this in -x + k = 2 x - 1
=k=3x-1
k=17


ans B
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