Question

How do you solve `8/(x-7) = 7/2`?

Answer 1

`x=9 2/7`

Explanation:

`8/(x-7)=7/2`

Cross multiply `color(blue)(a/b=c/d,ad=bc`

`rarr2(8)=7(x-7)`

Use distributive property `color(orange)(a(b+c)=ab+ac`

`rarr16=7x-49`

`rarr7x=16+49`

`rarr7x=65`

`rArrx=65/7=9 2/7`