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 to the equations: 1. 3a = 10 + 9 Step 1: Simplify the right side of the equation. 3a = 19 Step 2: Divide both sides by 3 to solve for a. a = (19)/(3) a = (19)/(3) 2. 12 - 3m = 2m - 3 Step 1: Add 3m to both sides of the equation. 12 = 2m + 3m - 3 12 = 5m - 3 Step 2: Add 3 to both sides of the equation. 12 + 3 = 5m 15 = 5m Step 3: Divide both sides by 5 to solve for m. (15)/(5) = m 3 = m m = 3 3. 3 + (1)/(2)x = 2(1)/(4)x - 1 Step 1: Convert the mixed number to an improper fraction. 2(1)/(4) = (2 × 4 + 1)/(4) = (9)/(4) The equation becomes: 3 + (1)/(2)x = (9)/(4)x - 1 Step 2: Subtract (1)/(2)x from both sides of the equation. 3 = (9)/(4)x - (1)/(2)x - 1 3 = (9)/(4)x - (2)/(4)x - 1 3 = (7)/(4)x - 1 Step 3: Add 1 to both sides of the equation. 3 + 1 = (7)/(4)x 4 = (7)/(4)x Step 4: Multiply both sides by (4)/(7) to solve for x. 4 × (4)/(7) = x (16)/(7) = x x = (16)/(7) Send me the next one 📸