{"id":156098,"date":"2025-06-19T16:02:14","date_gmt":"2025-06-19T13:02:14","guid":{"rendered":"https:\/\/azbuki.bg\/?p=156098"},"modified":"2025-06-19T16:02:14","modified_gmt":"2025-06-19T13:02:14","slug":"prilozhenie-na-sistemi-linejni-uravneniya-v-izravnyavane-na-himichni-uravneniya","status":"publish","type":"post","link":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/prilozhenie-na-sistemi-linejni-uravneniya-v-izravnyavane-na-himichni-uravneniya\/","title":{"rendered":"Application of Systems of Linear Equations in balancing Chemical Equations"},"content":{"rendered":"<p><strong>Tsvetelina Peeva<\/strong><\/p>\n<p><em>High School of Mathematics \u201cDr. Petar Beron\u201d \u2013  Varna, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-2-3-aos\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-2-3-aos<\/a><\/p>\n<p><strong>Abstract<\/strong><strong>.<\/strong> The article describes an integrated STEM lesson conducted with students of the ninth grade of High school of Mathematics \u201cDr. Peter Beron\u201d. It examines the author's attempt to upgrade the students' knowledge of solving systems of linear equations (SLE) by introducing the Gauss method to them. For this purpose, the concepts of matrix, matrix rank and elementary transformations in a matrix are introduced. One application of SLE as a universal method for balancing chemical equations is shown. A conclusion is made about the students' interest in the topic and the degree of assimilation of the presented learning material, which is beyond the scope of the curricula for compulsory and optional training optional training in Grade 9.<\/p>\n<p><em>Keywords:<\/em> method of Gauss; matrix; stoichiometric coefficients; STEM education<\/p>\n<p>&nbsp;<\/p>\n<a href=\"https:\/\/philosophy.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>\u0426\u0432\u0435\u0442\u0435\u043b\u0438\u043d\u0430 \u041f\u0435\u0435\u0432\u0430 \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430 \u0433\u0438\u043c\u043d\u0430\u0437\u0438\u044f \u201e\u0414-\u0440 \u041f\u0435\u0442\u044a\u0440 \u0411\u0435\u0440\u043e\u043d\u201c, \u0412\u0430\u0440\u043d\u0430 (\u0411\u044a\u043b\u0433\u0430\u0440\u0438\u044f) https:\/\/doi.org\/10.53656\/math2025-2-3-aos \u0420\u0435\u0437\u044e\u043c\u0435. \u0421\u0442\u0430\u0442\u0438\u044f\u0442\u0430 \u043e\u043f\u0438\u0441\u0432\u0430 \u0421\u0422\u0415\u041c \u0443\u0440\u043e\u043a, \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d \u0441 \u0443\u0447\u0435\u043d\u0438\u0446\u0438 \u043e\u0442 \u0434\u0435\u0432\u0435\u0442\u0438 \u043a\u043b\u0430\u0441 \u043d\u0430 \u041c\u0413 \u201e\u0414-\u0440 \u041f\u0435\u0442\u044a\u0440 \u0411\u0435\u0440\u043e\u043d\u201c. \u0412 \u043d\u0435\u044f \u0441\u0435 \u0440\u0430\u0437\u0433\u043b\u0435\u0436\u0434\u0430\u0442 \u043e\u043f\u0438\u0442\u044a\u0442 \u0438 \u0446\u0435\u043b\u0442\u0430 \u043d\u0430 \u0430\u0432\u0442\u043e\u0440\u043a\u0430\u0442\u0430 \u0434\u0430 \u043d\u0430\u0434\u0433\u0440\u0430\u0434\u0438 \u0437\u043d\u0430\u043d\u0438\u044f\u0442\u0430 \u043d\u0430 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 \u0437\u0430 \u0440\u0435\u0448\u0430\u0432\u0430\u043d\u0435 \u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f (\u0421\u041b\u0423) \u0447\u0440\u0435\u0437 \u0437\u0430\u043f\u043e\u0437\u043d\u0430\u0432\u0430\u043d\u0435 \u0441 \u043c\u0435\u0442\u043e\u0434\u0430 \u043d\u0430 \u0413\u0430\u0443\u0441. \u0417\u0430 \u0446\u0435\u043b\u0442\u0430 [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[1],"tags":[4433,12066,12065,12067],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u0438 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