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
Step 1: Write down the given system of equations. We have the following system: 2a - b = 3 (1) a + b = 9 (2) Step 2: Add equation (1) and equation (2) to eliminate b. (2a - b) + (a + b) = 3 + 9 2a + a - b + b = 12 3a = 12 Step 3: Solve for a. Divide both sides by 3: (3a)/(3) = (12)/(3) a = 4 Step 4: Substitute the value of a into equation (2) to solve for b. a + b = 9 Substitute a = 4: 4 + b = 9 Subtract 4 from both sides: b = 9 - 4 b = 5 The solution to the system of equations is: a = 4 b = 5 Last free one today — make it count tomorrow, or type /upgrade for unlimited.