Question

I am stuck on this question, I’d be thankful for help!

If y varies directly with x and y = 7/9 when z = 5/9 find x when y = 2/5
Simplify fractions

X = _____

Answer 1

2/7

Explanation:

Given that y varies directly with x, and y=7/9 when x=5/9, you want the value of x for y=2/5.

Proportion

"Varies directly" means the variables are proportional to one another. Their ratio is a constant. We can use this to find the value of x:

x/(2/5) = (5/9)/(7/9)

Multiplying by 2/5, we get ...

x = (2/5)×(5/9)/(7/9) = (2/5)(5/7)

x = 2/7