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
Hapa kuna masuluhisho ya milinganyo uliyotuma: 1. Kutatua 6 + x = 6: Step 1: Toa 6 kutoka pande zote mbili za mlinganyo. 6 + x - 6 = 6 - 6 x = 0 Jibu: x = 0 2. Kutatua 4x + 1 = 2x + 7: Step 1: Toa 2x kutoka pande zote mbili za mlinganyo. 4x - 2x + 1 = 2x - 2x + 7 2x + 1 = 7 Step 2: Toa 1 kutoka pande zote mbili. 2x + 1 - 1 = 7 - 1 2x = 6 Step 3: Gawanya pande zote mbili kwa 2. (2x)/(2) = (6)/(2) x = 3 Jibu: x = 3 3. Kutatua 7x - 7 = x + 1: Step 1: Toa x kutoka pande zote mbili za mlinganyo. 7x - x - 7 = x - x + 1 6x - 7 = 1 Step 2: Ongeza 7 kwa pande zote mbili. 6x - 7 + 7 = 1 + 7 6x = 8 Step 3: Gawanya pande zote mbili kwa 6. (6x)/(6) = (8)/(6) x = (4)/(3) Jibu: x = (4)/(3) 4. Kutatua 10x - 21 = 7x: Step 1: Toa 7x kutoka pande zote mbili za mlinganyo. 10x - 7x - 21 = 7x - 7x 3x - 21 = 0 Step 2: Ongeza 21 kwa pande zote mbili. 3x - 21 + 21 = 0 + 21 3x = 21 Step 3: Gawanya pande zote mbili kwa 3. (3x)/(3) = (21)/(3) x = 7 Jibu: x = 7 Tuma swali linalofuata 📸