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
Here are the solutions for the given equations: 3.1 Step 1: Add 11 to both sides of the equation. k - 11 = 2 k - 11 + 11 = 2 + 11 Step 2: Simplify to find the value of k. k = 13 The solution is: k = 13 3.2 Step 1: Add 7 to both sides of the equation. -7 - x = -5 -7 - x + 7 = -5 + 7 -x = 2 Step 2: Multiply both sides by -1 to solve for x. (-1)(-x) = (-1)(2) x = -2 The solution is: x = -2 3.3 Step 1: Subtract 3m from both sides of the equation to collect m terms on one side. 5m + 4 = 3m - 12 5m - 3m + 4 = -12 2m + 4 = -12 Step 2: Subtract 4 from both sides to isolate the term with m. 2m + 4 - 4 = -12 - 4 2m = -16 Step 3: Divide by 2 to solve for m. (2m)/(2) = (-16)/(2) m = -8 The solution is: m = -8 3.4 Step 1: Distribute the numbers outside the parentheses on both sides of the equation. 5(x - 1) = 4(x - 2) 5x - 5 = 4x - 8 Step 2: Subtract 4x from both sides to collect x terms on one side. 5x - 4x - 5 = -8 x - 5 = -8 Step 3: Add 5 to both sides to solve for x. x - 5 + 5 = -8 + 5 x = -3 The solution is: x = -3 Send me the next one 📸