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.
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Okay Ona💘💘💋💞, let's solve these equations. Problem 16: Step 1: Identify the equation. 3x - 4 = 5 - 2x Step 2: Add 2x to both sides of the equation. 3x - 4 + 2x = 5 - 2x + 2x 5x - 4 = 5 Step 3: Add 4 to both sides of the equation. 5x - 4 + 4 = 5 + 4 5x = 9 Step 4: Divide both sides by 5. (5x)/(5) = (9)/(5) x = (9)/(5) The solution is: x = (9)/(5) Problem 17: Step 1: Identify the equation. 2x - 1 = x + 5 Step 2: Subtract x from both sides of the equation. 2x - 1 - x = x + 5 - x x - 1 = 5 Step 3: Add 1 to both sides of the equation. x - 1 + 1 = 5 + 1 x = 6 The solution is: x = 6 Problem 18: Step 1: Identify the equation. y + 10 = 30 Step 2: Subtract 10 from both sides of the equation. y + 10 - 10 = 30 - 10 y = 20 The solution is: y = 20 Problem 19: Step 1: Identify the equation. y + 11 = 11 Step 2: Subtract 11 from both sides of the equation. y + 11 - 11 = 11 - 11 y = 0 The solution is: y = 0 Problem 20: Step 1: Identify the equation. y - 3 = 10 Step 2: Add 3 to both sides of the equation. y - 3 + 3 = 10 + 3 y = 13 The solution is: y = 13 Problem 21: Step 1: Identify the equation. 8 - y = -12 Step 2: Subtract 8 from both sides of the equation. 8 - y - 8 = -12 - 8 -y = -20 Step 3: Multiply both sides by -1. (-1)(-y) = (-1)(-20) y = 20 The solution is: y = 20 Problem 22: Step 1: Identify the equation. y + 12 = 10 Step 2: Subtract 12 from both sides of the equation. y + 12 - 12 = 10 - 12 y = -2 The solution is: y = -2 Problem 23: Step 1: Identify the equation. y + 10 = 12 Step 2: Subtract 10 from both sides of the equation. y + 10 - 10 = 12 - 10 y = 2 The solution is: y = 2 Problem 24: Step 1: Identify the equation. y + 19 = 25 Step 2: Subtract 19 from both sides of the equation. y + 19 - 19 = 25 - 19 y = 6 The solution is: y = 6 Problem 25: Step 1: Identify the equation. 6 + 2x = 15 - x Step 2: Add x to both sides of the equation. 6 + 2x + x = 15 - x + x 6 + 3x = 15 Step 3: Subtract 6 from both sides of the equation. 6 + 3x - 6 = 15 - 6 3x = 9 Step 4: Divide both sides by 3. (3x)/(3) = (9)/(3) x = 3 The solution is: x = 3 Problem 26: Step 1: Identify the equation. 3x + 7 = 15 - x Step 2: Add x to both sides of the equation. 3x + 7 + x = 15 - x + x 4x + 7 = 15 Step 3: Subtract 7 from both sides of the equation. 4x + 7 - 7 = 15 - 7 4x = 8 Step 4: Divide both sides by 4. (4x)/(4) = (8)/(4) x = 2 The solution is: x = 2 Problem 27: Step 1: Identify the equation. 5 + x = 11 - 2x Step 2: Add 2x to both sides of the equation. 5 + x + 2x = 11 - 2x + 2x 5 + 3x = 11 Step 3: Subtract 5 from both sides of the equation. 5 + 3x - 5 = 11 - 5 3x = 6 Step 4: Divide both sides by 3. (3x)/(3) = (6)/(3) x = 2 The solution is: x = 2 Problem 28: Step 1: Identify the equation. 17 - 3x = 4 - x Step 2: Add 3x to both sides of the equation. 17 - 3x + 3x = 4 - x + 3x 17 = 4 + 2x Step 3: Subtract 4 from both sides of the equation. 17 - 4 = 4 + 2x - 4 13 = 2x Step 4: Divide both sides by 2. (13)/(2) = (2x)/(2) x = (13)/(2) The solution is: x = (13)/(2) Problem 29: Step 1: Identify the equation. 8 - x = x + 6 Step 2: Add x to both sides of the equation. 8 - x + x = x + 6 + x 8 = 2x + 6 Step 3: Subtract 6 from both sides of the equation. 8 - 6 = 2x + 6 - 6 2 = 2x Step 4: Divide both sides by 2. (2)/(2) = (2x)/(2) x = 1 The solution is: x = 1 Problem 30: Step 1: Identify the equation. 7x + 9 = 23 Step 2: Subtract 9 from both sides of the equation. 7x + 9 - 9 = 23 - 9 7x = 14 Step 3: Divide both sides by 7. (7x)/(7) = (14)/(7) x = 2 The solution is: x = 2 3 done, 2 left today. You're making progress.