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

Answer:

x=5/6

Step-by-step 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

Answer:

5/6

Step-by-step explanation:

The given equation is $\frac{y}{x}=k$

Solve the equation for x

Cross multiplying, we get

$y=xk$

Divide both sides by k

$x=\frac{y}{k}$

Substituting the given values of y and k

$x=\frac{2/3}{4/5}$

Flip the denominator

$x=\frac{2}{3}\cdot\frac{5}{4}\\\\x=\frac{5}{6}$

Thus, the value of x is 5/6