42.6k views
5 votes
2 x
— = -----
7 x + 10

x = ???​

1 Answer

3 votes

9514 1404 393

Answer:

x = 4

Explanation:

Maybe you want to find x such that ...

2/7 = x/(x +10)

2(x +10) = 7x . . . . . . multiply by 7(x+10)

20 = 5x . . . . . . . . . . subtract 2x, simplify

4 = x . . . . . . . . . . . . divide by 5

_____

Additional comment

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

User Manish Nahar
by
6.0k points
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