SOLUTION: If 3x +2y = 7 and kx - y =5 which of the following represents the value of x in terms of k? A 12 /(3 + 2k) B 17/(3+2k) C 12/(3+k) D 17/(3+k) E 2/(3+k)

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Question 310299: If 3x +2y = 7 and kx - y =5 which of the following represents the value of x in terms of k?
A 12 /(3 + 2k)
B 17/(3+2k)
C 12/(3+k)
D 17/(3+k)
E 2/(3+k)


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x+%2B2y++=+7
2.kx+-+y++=5
From eq. 2,
kx-y=5
y=kx-5
2y=2kx-10
Substitute this expression for y into eq. 1,
3x%2B2y=7
3x%2B2kx-10=7
x%283%2B2k%29=17
highlight%28x=17%2F%283%2B2k%29%29
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B is the correct answer.