Answer:
[tex]x = 6 \frac{2}{3} [/tex]
Step-by-step explanation:
Since y varies directly with x,
y= kx, where k is a constant.
① Find the value of the constant k.
When y=12, x= 16,
12= k(16)
16k= 12
[tex]k = \frac{12}{16} \\ k = \frac{3}{4} [/tex]
②Substitute the value of k back into the equation:
[tex]y = \frac{3}{4} x[/tex]
③ Find value of x when y=5.
When y=5,
[tex]5 = \frac{3}{4} x \\ x = 5 \div \frac{3}{4} \\ x = 5 \times \frac{4}{3} \\ x = \frac{20}{3} \\ x = 6 \frac{2}{3}[/tex]
