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. Tutaweka x kuwa gharama ya kitabu kimoja cha mazoezi na y kuwa gharama ya rula moja. Kutoka taarifa ya kwanza: x + 3y = 190 (Mlinganyo 1) Kutoka taarifa ya pili: x + 5y = 250 (Mlinganyo 2) Step 2: Ondoa mlinganyo 1 kutoka mlinganyo 2. Ili kuondoa x, tutatoa Mlinganyo 1 kutoka Mlinganyo 2. (x + 5y) - (x + 3y) = 250 - 190 x + 5y - x - 3y = 60 2y = 60 Step 3: Tatua kwa y. Gawanya pande zote mbili kwa 2 ili kupata thamani ya y. (2y)/(2) = (60)/(2) y = 30 Step 4: Toa jibu. Gharama ya rula moja ni shilingi 30. Gharama ya rula moja ni: Sh. 30 Tuma swali linalofuata 📸