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Home Q & A Board Science-Related Homework Help Mathematics
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FinnBinn FinnBinn
wrote...
Posts: 32
Rep: 2 0
11 years ago
(x+1)/3 + (x+2)/7 = 2

The answer is the back of the book tells me the answer is 29/10 but I have no idea how to get there!
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wrote...
#1
11 years ago
first let we multiply this by 3 times 7 = 21
((x+1)/3 + (x+2)/7 = 2 ) * 21
7(x+1) + 3(x+2) = 42
7x + 7 + 3x + 6 = 42
10x = 42-13
10x= 29
x= 29/10
u r welcome
wrote...
#2
11 years ago
21[(x+1)/3 + (x+2)/7] = 2*21
7x + 7 + 3x + 6 = 42
10x + 13 = 42
10x = 29
x = 29/10
 
wrote...
#3
11 years ago
Simplify

(x/3) + (1/3) + (x/7) + (2/7) = 2

Bring x's to one side

(x/3) + (x/7) = 2 - (2/7) - (1/3)

The equation can be written as

(1/3)x + (1/7)x = 29/21

Add 1/3 and 1/7 to get 10/21 so

(10/21)x = 29/21
x = 29/10
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