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
Huu ni mfumo wa milinganyo miwili. Tutatumia njia ya kuondoa (elimination method) kutatua. Step 1: Andika milinganyo. 2x + y = 10 (Mlinganyo 1) x - y = 2 (Mlinganyo 2) Step 2: Ongeza Mlinganyo 1 na Mlinganyo 2. Kumbuka kuwa coefficients za y ni +1 na -1. Kwa kuongeza milinganyo, y itaondolewa. (2x + y) + (x - y) = 10 + 2 2x + y + x - y = 12 3x = 12 Step 3: Tatua kwa x. Gawanya pande zote mbili kwa 3. (3x)/(3) = (12)/(3) x = 4 Step 4: Badilisha thamani ya x katika mojawapo ya milinganyo asili. Tutatumia Mlinganyo 2 (x - y = 2) kwa urahisi. 4 - y = 2 Step 5: Tatua kwa y. Toa 4 kutoka pande zote mbili. -y = 2 - 4 -y = -2 Zidisha pande zote mbili kwa -1. y = 2 Step 6: Toa majibu. Thamani za x na y ni 4 na 2 mtawalia. Thamani ya x ni: 4 Thamani ya y ni: 2 3 done, 2 left today. You're making progress.