Step 1 :We are given that \(y = 3x\). We can substitute this into the equation \(4x + 3y = 39\) to solve for \(x\).
Step 2 :Substituting \(y = 3x\) into the equation gives us \(4x + 3(3x) = 39\).
Step 3 :Simplifying the equation gives us \(13x = 39\).
Step 4 :Dividing both sides of the equation by 13 gives us \(x = 3\).
Step 5 :Final Answer: The solution to the equation is \(x = \boxed{3}\).