Question

If you solve using the equation for the constant of proportionality, y/x = k with k = 4/5 and y = 2/3, what is the value of x?

Answer 1

x=5/6

Explanation:

k=4/5

3 and 5 can go into 15

10/15 and 12/15

10/15 divided by x =12/15

x=5/6

Answer 2

5/6

Explanation:

The given equation is
`(y)/(x)=k`

Solve the equation for x

Cross multiplying, we get

`y=xk`

Divide both sides by k

`x=(y)/(k)`

Substituting the given values of y and k

`x=(2/3)/(4/5)`

Flip the denominator

`x=(2)/(3)\cdot(5)/(4)\\\\x=(5)/(6)`

Thus, the value of x is 5/6