Suppose Y varies directlly With x. If y= 6 when x=2 find x when y= 12

Answer:The value of x = 4 when the value of y = 12Step-by-step explanation:∵ y α x ⇒ it is direct variation- It means y increase when x increase∴ y = kx ⇒ where k is a constant- To find the value of k we will substitute the values of x   and y in the equation above- If y = 6 when x = 2∴ 6 = k(2) ⇒ divide two sides by 2∴ k = 3∴ y = 3x ⇒ equation of variation- To find the value of x when y = 12- Substitute the value of y in the equation of variation∴ 12 = 3x ⇒ divide both sides by 3∴ x = 4* The value of x = 4 when the value of y = 12