https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:equivalent-systems-equations/v/why-we-do-the-same-thing-to-both-sides-basic-systems 2021-04-19T14:43:38Z Why can we subtract one equation from the other in a system of equations? The example of a scale where we try to achieve balance helps to explain why we can subtract one equation from the other in a system of equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/bpyrDg2UujNzFGs5RS2uaywsBlXjte_td8DC7eXQTiDA9EMK9CvnV7tGhyyxaJSMPwGNIQVgoc5tx5PFisdwO7xi Why can we subtract one equation from the other in a system of equations? The example of a scale where we try to achieve balance helps to explain why we can subtract one equation from the other in a system of equations. https://cdn.kastatic.org/ka-youtube-converted/h9ZgZimXn2Q.mp4/h9ZgZimXn2Q.mp4 493 Sistemas de ecuaciones equivalentes https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:equivalent-systems-equations/v/identifying-equivalent-systems-of-equations 2022-10-06T23:01:00.745424633Z Worked example: equivalent systems of equations Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. video https://cdn.kastatic.org/ka_thumbnails_cache/9858dd40-c480-4939-bdfb-24269944f1b1_1280_720_base.png Worked example: equivalent systems of equations Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. https://cdn.kastatic.org/ka-youtube-converted/XstL_x4ucm4.mp4/XstL_x4ucm4.mp4 331 Sistemas de ecuaciones equivalentes https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:equivalent-systems-equations/v/identifying-non-equivalent-systems-of-equations 2022-10-06T23:01:00.745424633Z Worked example: non-equivalent systems of equations Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. video https://cdn.kastatic.org/ka_thumbnails_cache/814d9cf9-9dba-4c3c-a061-4fdbe11307ff_1280_720_base.png Worked example: non-equivalent systems of equations Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. https://cdn.kastatic.org/ka-youtube-converted/PSDQdwL1T0M.mp4/PSDQdwL1T0M.mp4 270 Sistemas de ecuaciones equivalentes https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:equivalent-systems-equations/a/equivalent-systems-of-equations-review 2021-04-29T07:57:57Z Equivalent systems of equations review Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:equivalent-systems-equations/e/understanding-solution-methods-to-systems-of-equations 2023-12-12T00:32:03.629852833Z Reasoning with systems of equations Determine which manipulation was performed on one system to obtain another system, and then determine whether the two systems are equivalent. Tomer Gal exercise