Question

I need help figuring out a way to find x for both

Answer 1

Both problems are proportions, so cross multiply in each problem to get rid of the fractions.

41.
`(9)/(x) = (12)/(21)`

Reduce the fraction in the right side.

`(9)/(x) = (4)/(7)`

Cross multiply.

`4x = 9 * 7`

`4x = 63`

`x = (63)/(4)`

`x = 15.75`

43.
`(5)/(2) = (10)/(x - 2)`

Cross multiply.

`5(x - 2) = 2 * 10`

`5x - 10 = 20`

`5x = 30`

`x = 6`