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 hapa ni ufumbuzi wa swali la 37: Ili kutatua milinganyo shirikishi kwa kutumia grafu, tunahitaji kuchora kila mstari kwenye grafu na kisha kupata sehemu wanapokutana. Step 1: Pata pointi za kuchora mstari wa kwanza, y = (1)/(2)x - 1. Chagua thamani za x na kokotoa thamani za y: • Ikiwa x = 0: y = (1)/(2)(0) - 1 = -1. Pointi ni (0, -1). • Ikiwa x = 2: y = (1)/(2)(2) - 1 = 1 - 1 = 0. Pointi ni (2, 0). • Ikiwa x = -2: y = (1)/(2)(-2) - 1 = -1 - 1 = -2. Pointi ni (-2, -2). Step 2: Pata pointi za kuchora mstari wa pili, y = -2x - 1. Chagua thamani za x na kokotoa thamani za y: • Ikiwa x = 0: y = -2(0) - 1 = -1. Pointi ni (0, -1). • Ikiwa x = 1: y = -2(1) - 1 = -2 - 1 = -3. Pointi ni (1, -3). • Ikiwa x = -1: y = -2(-1) - 1 = 2 - 1 = 1. Pointi ni (-1, 1). Step 3: Chora pointi hizi kwenye grafu na unganisha pointi za kila mlinganyo ili kuunda mistari miwili. Mstari wa kwanza utapita kwenye (0, -1), (2, 0), na (-2, -2). Mstari wa pili utapita kwenye (0, -1), (1, -3), na (-1, 1). Step 4: Tambua sehemu ambapo mistari miwili inakutana. Mistari yote miwili inakutana kwenye pointi (0, -1). Hivyo, suluhisho la milinganyo shirikishi ni: x = 0 y = -1 Suluhisho ni x = 0, y = -1. 3 done, 2 left today. You're making progress.