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

2 Answers
Feb 18, 2017

x = 3

Explanation:

7 = 5/x + 16/x

=> (5+16)/x = 7

=> 21/x = 7

=> 1/x = 7 / 21

By the reciprocal principle:

=> x = 21/7

x = 3

Which satisfies the equation given.

Feb 18, 2017

x=3

Explanation:

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

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

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

7x = 16+5

7x = 21

x=3