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 — here are the solutions to the problems. 1. Simplify 7a + 12a - 12 Step 1: Combine like terms. 7a + 12a - 12 = (7+12)a - 12 = 19a - 12 The simplified expression is 19a - 12. 2. Simplify 2x - 3(3 - 2(y - 4x)) Step 1: Distribute the -2 inside the innermost parenthesis. 2x - 3(3 - 2(y - 4x)) = 2x - 3(3 - 2y + 8x) Step 2: Distribute the -3 to the terms inside the parenthesis. = 2x - 9 + 6y - 24x Step 3: Combine like terms. = (2x - 24x) + 6y - 9 = -22x + 6y - 9 Rearranging the terms: = 6y - 22x - 9 The simplified expression is 6y - 22x - 9. 3. Solve the inequalities a) 3x - 1 > 5 Step 1: Add 1 to both sides of the inequality. 3x - 1 + 1 > 5 + 1 3x > 6 Step 2: Divide both sides by 3. (3x)/(3) > (6)/(3) x > 2 The solution is x > 2. b) 4 - x < 1 Step 1: Subtract 4 from both sides of the inequality. 4 - x - 4 < 1 - 4 -x < -3 Step 2: Multiply both sides by -1 and reverse the inequality sign. -1(-x) > -1(-3) x > 3 The solution is x > 3. Got more? Send 'em!