How do you solve 7- \frac { 5} { x } = \frac { 16} { x }75x=16x?

2 Answers
Feb 18, 2017

x = 3x=3

Explanation:

7 = 5/x + 16/x7=5x+16x

=> (5+16)/x = 75+16x=7

=> 21/x = 7 21x=7

=> 1/x = 7 / 211x=721

By the reciprocal principle:

=> x = 21/7 x=217

x = 3x=3

Which satisfies the equation given.

Feb 18, 2017

x=3x=3

Explanation:

7 -5/x = 16/x" "75x=16x get rid of the denominators (xx x×x)

7color(blue)(xx x) -(5color(blue)(xx x))/x = (16color(blue)(xx x))/x7×x5×xx=16×xx

7x -5 = 16" "7x5=16 add 5 to both sides

7x = 16+57x=16+5

7x = 217x=21

x=3x=3