8.2.1 ᠣᠷᠣᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠬᠤᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠢ ᠪᠣᠳᠣᠬᠤ
ᠠᠯᠪᠠᠨ ᠵᠢᠷᠤᠮ ᠤᠨ ᠰᠤᠷᠭᠠᠨ ᠬᠦᠮᠦᠵᠢᠯ ᠦᠨ ᠰᠤᠷᠬᠤ ᠪᠢᠴᠢᠭ,ᠳᠣᠯᠣᠳᠤᠭᠠᠷ ᠣᠨ( ᠳᠣᠣᠷᠠᠳᠤ),ᠬᠢᠴᠢᠶᠡᠯᠯᠡᠭᠴᠢ᠄ ᠬᠠᠰᠪᠤᠶᠠᠨᠲᠤ,8.2.1 ᠣᠷᠣᠯᠠᠭᠤᠯᠤᠨ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠬᠣᠶᠠᠷ ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢᠳᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠣᠳᠣᠬᠤ,1. ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢ ᠵᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠦᠵᠡᠯ ᠰᠠᠨ᠋ᠠᠭᠠ ᠵᠢ ᠠᠩᠬᠠ ᠠᠯᠬᠤᠮ ᠤᠢᠯᠠᠭᠠᠬᠤ ᠃ 2. ᠤᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ ᠪᠡᠷ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭ᠍ᠰᠢᠳᠬᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠢ ᠪᠤᠳ᠋ᠤᠵᠤ ᠴᠢᠳ᠋ᠠᠬᠤ ᠃,ᠰᠤᠷᠬᠤ ᠬᠠᠷᠠᠯᠲᠠ,ᠰᠥᠪᠡᠭᠴᠢᠯᠡᠯ,𝑥+𝑦=10 2𝑥+𝑦=16,①,②,2𝑥 + (10 –𝑥) =16,,ᠣᠷᠣᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ,ᠥᠯᠥ ᠮᠡᠳᠡᠭᠳᠡᠭᠴᠢ ᠶᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,,ᠪᠤᠳ᠋ᠤᠬᠤ ᠨᠢ ᠄,ᠣᠷᠣᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ ᠪᠠᠷ ᠪᠣᠳᠣᠬᠤ ᠠᠯᠬᠤᠮ,ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠨᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,ᠤᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ,③,𝑥=6,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠬᠠᠷᠢᠭᠤ,ᠪᠤᠳ᠋ᠤᠬᠤ ᠨᠢ ᠄,ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠨᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ,ᠤᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ,ᠬᠡᠯᠪᠡᠷᠢ ᠶᠢ ᠨᠢ ᠬᠤᠪᠢᠷᠠᠭᠠᠬᠤ,𝑥=8,ᠪᠤᠴᠠᠵᠤ ᠣᠷᠣᠯᠠᠭᠤᠯᠬᠤ,,,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠬᠠᠷᠢᠭᠤ,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠭᠰᠠᠨ ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠯ,ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ᠌ ᠲᠦ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠲᠡᠢ᠂ ᠲᠡᠭᠦᠨ ᠤ ᠲᠤᠳ᠋ᠤᠷᠠᠬᠢ ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠨᠢ ᠤᠰᠠᠳᠬᠠᠪᠠᠯ ᠂ ᠬᠤᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠦᠯᠦᠭ᠌ ᠢ ᠬᠤᠪᠢᠷᠠᠭᠠᠭᠠᠳ ᠨᠢᠭᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠭᠡᠳᠤᠭᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠪᠣᠯᠭᠠᠨᠠ᠃ ᠲᠡᠭᠡᠪᠡᠯ ᠤᠷᠢᠳᠠᠪᠠᠷ ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠣᠭᠠᠨ ᠤ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ ᠢ ᠨᠢ ᠣᠯᠵᠤ᠂ ᠳᠠᠷᠠᠭᠠ ᠨᠢ ᠨᠥᠬᠥᠭᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠣᠭᠠᠨ ᠤ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ ᠢ ᠣᠯᠣᠨᠠ᠃,ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠶᠢᠨ ᠪᠤᠳ᠋ᠠᠭᠠᠯᠢ ᠲᠤᠭᠠ ᠵᠢ ᠤᠯᠠᠨ ᠡᠴᠡ ᠴᠥᠭᠡᠨ ᠪᠤᠯᠭᠠᠠᠵᠤ ᠂ ᠠᠯᠬᠤᠮ ᠲᠠᠷᠠᠭᠠᠯᠠᠨ ᠰᠢᠢᠳᠪᠦᠷᠢᠯᠡᠬᠦ ᠦᠵᠡᠯ ᠰᠠᠨᠠᠭᠠ ᠵᠢ ᠦᠯᠦ ᠮᠠᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢ ᠵᠢ ᠨᠢ ᠤᠰᠠᠳᠬᠠᠬᠤ ᠦᠵᠡᠯ ᠰᠠᠨᠠᠭᠠ ᠬᠡᠨᠡ ᠃,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ,ᠬᠤᠷᠢᠶᠠᠩᠭᠤᠢᠯᠠᠯ,ᠤᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭᠠ ᠪᠡᠷ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠢ ᠪᠤᠳ᠋ᠤᠬᠤ ᠠᠯᠬᠤᠮ ᠄,,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠤᠨ ᠪᠦᠯᠦᠭ᠌ ᠦᠨ ᠬᠢᠯᠪᠡᠷ ᠰᠢᠭ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠳ᠋ᠦ ᠬᠤᠪᠢᠷᠠᠭᠠᠯᠳ᠋ᠠ ᠬᠢᠵᠦ ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠪᠡᠷ ᠨᠥᠭᠦᠭᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠢᠯᠡᠷᠭᠡᠢᠯᠡᠬᠦ᠃,ᠬᠤᠪᠢᠷᠠᠭᠠᠵᠤ ᠤᠯᠤᠠᠠᠰᠠᠨ ᠢᠯᠡᠷᠭᠡᠢᠯᠡᠯ ᠢᠶᠡᠨ ᠨᠥᠭᠦᠭᠡ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠳᠦ ᠤᠷᠤᠯᠠᠭᠤᠯᠵᠤ ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠪᠤᠯᠭᠠᠨ ᠨᠢᠬᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠤᠯᠤᠨᠠ ᠃,ᠤᠯᠤᠠᠠᠰᠠᠨ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠶᠢᠨ ᠬᠡᠮᠵᠢᠭ᠍ᠳ᠋ᠡᠯ ᠢ ᠬᠣᠶᠠᠷ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭ᠍ᠳ᠋ᠡᠭᠴᠢᠳ᠋ᠡᠢ ᠨᠢᠬᠡᠳ᠋ᠦᠬᠡᠷ ᠵᠡᠷᠭᠡ ᠶᠢᠨ ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠳ᠋ᠦ ᠤᠷᠤᠯᠠᠭᠤᠯᠵᠤ ᠨᠥᠭᠦᠭᠡ ᠦᠯᠦ ᠮᠡᠳ᠋ᠡᠭᠦ ᠲᠤᠭᠠ ᠵᠢ ᠤᠯᠤᠨᠠ ᠃,,,ᠲᠡᠭᠰᠢᠳᠭᠡᠯ ᠦᠨ ᠪᠥᠯᠥᠭ ᠦᠨ ᠬᠠᠷᠢᠭᠤ ᠶᠢ ᠣᠯᠣᠨᠠ᠃,,
ᠮᠣᠩᠭᠣᠯ ᠳ᠋ᠣᠺ ᠤᠨ ᠬᠥᠮᠥᠷᠭᠡ