Answer:
5/6
Step-by-step explanation:
The given equation is [tex]\frac{y}{x}=k[/tex]
Solve the equation for x
Cross multiplying, we get
[tex]y=xk[/tex]
Divide both sides by k
[tex]x=\frac{y}{k}[/tex]
Substituting the given values of y and k
[tex]x=\frac{2/3}{4/5}[/tex]
Flip the denominator
[tex]x=\frac{2}{3}\cdot\frac{5}{4}\\\\x=\frac{5}{6}[/tex]
Thus, the value of x is 5/6
