This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — let's solve for k. The given equation is: (7k+1)/(6) = (3k-1)/(2) Step 1: Multiply both sides of the equation by the least common multiple (LCM) of the denominators (6 and 2), which is 6, to eliminate the fractions. 6 × ((7k+1)/(6)) = 6 × ((3k-1)/(2)) Step 2: Simplify both sides. 7k+1 = 3(3k-1) Step 3: Distribute the 3 on the right side. 7k+1 = 9k-3 Step 4: Subtract 7k from both sides to gather k terms on one side. 1 = 9k - 7k - 3 1 = 2k - 3 Step 5: Add 3 to both sides to isolate the term with k. 1 + 3 = 2k 4 = 2k Step 6: Divide by 2 to solve for k. (4)/(2) = k 2 = k The value of k is: k=2 What's next?