https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/v/trolls-tolls-and-systems-of-equations 2021-06-21T15:29:05Z Systems of equations: trolls, tolls (1 of 2) A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/b_y-BaRBvyK-maEDUf9uN9H7WjoV7DwXUfAETMvkfjJYUdZeB1r2U_xSikLLt_09JSlBT8wDB1tLwzz-_xBCEP85ow Systems of equations: trolls, tolls (1 of 2) A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations. https://cdn.kastatic.org/ka-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4 411 Sistemas de ecuaciones https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/v/solving-the-troll-riddle-visually 2021-06-21T15:29:11Z Systems of equations: trolls, tolls (2 of 2) Solving the system of equations visually. Now we can save the prince/princess. Sal Khan video https://cdn.kastatic.org/googleusercontent/trvex1O3M0Avapk25H-0NxxrsDToa-gOX76bhvFhq4Tb-C4VFHOO8hCRBHnfw7Bf6Y7YMD1zxKey0TbzPQS7ehomkQ Systems of equations: trolls, tolls (2 of 2) Solving the system of equations visually. Now we can save the prince/princess. https://cdn.kastatic.org/ka-youtube-converted/H-HfmyUzPw8.mp4/H-HfmyUzPw8.mp4 341 Sistemas de ecuaciones https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/v/testing-a-solution-for-a-system-of-equations 2021-06-21T15:29:05Z Testing a solution to a system of equations Sal checks whether (-1,7) is a solution of the system: x+2y=13 and 3x-y=-11. Sal Khan video https://cdn.kastatic.org/googleusercontent/ckn5jlapHG75xl41VkQ-rEF2GRxD5zhraMy6wCs9H1Ufc9_VjKJQZXB3_fqXXWr1XNBBhgFQ5ChWuKPxFMZn-IIurQ Testing a solution to a system of equations Sal checks whether (-1,7) is a solution of the system: x+2y=13 and 3x-y=-11. https://cdn.kastatic.org/ka-youtube-converted/SkMNREAMNvc.mp4/SkMNREAMNvc.mp4 158 Sistemas de ecuaciones https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/e/verifying-solutions-to-systems-of-equations 2024-06-28T14:49:01.439418525Z Solutions of systems of equations Verify whether a given pair of values is a solution to a system of equations. Tomer Gal exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/graphings-systems-of-equations 2023-05-12T21:01:01.897246564Z Systems of equations with graphing: 5x+3y=7 & 3x-2y=8 To solve a system of linear equations by graphing, you need to graph each equation separately. Find two points on each line and connect them. The point where the two lines intersect is the solution to the system of equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/7clEsTQftHxW-LJzDUn62pRncCPzFZchRbEXEhERyBA_obyEAS1BEq9mz6omOWNEw5CD5i7TRzCPEfSdC5H3RogDng Systems of equations with graphing: 5x+3y=7 & 3x-2y=8 To solve a system of linear equations by graphing, you need to graph each equation separately. Find two points on each line and connect them. The point where the two lines intersect is the solution to the system of equations. https://cdn.kastatic.org/ka-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.mp4 395 Sistemas de ecuaciones https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/e/graphing_systems_of_equations 2026-03-24T23:41:07.080866137Z Systems of equations with graphing Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/v/solving-systems-graphically-examples 2022-10-06T11:39:29.972393653Z Systems of equations with graphing: exact & approximate solutions Sal solves a system of two linear equations in standard form, and then approximates the solution of a system whose solution isn't clearly visible. video https://cdn.kastatic.org/ka_thumbnails_cache/e69bfee3-b4ab-4f54-bad1-e74465d359d8_1280_720_base.png Systems of equations with graphing: exact & approximate solutions Sal solves a system of two linear equations in standard form, and then approximates the solution of a system whose solution isn't clearly visible. https://cdn.kastatic.org/ka-youtube-converted/o4pbAQgJYjI.mp4/o4pbAQgJYjI.mp4 356 Sistemas de ecuaciones