https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-of-equations-with-substitution/v/solving-systems-with-substitution 2021-04-19T14:43:37Z Systems of equations with substitution: potato chips To solve a system of equations using substitution... 1. Isolate one of the variables in one of the equations, e.g. rewrite 2x+y=3 as y=3-2x. 2. You can now express the isolated variable using the other one. *Substitute* that expression into the second equation, e.g. rewrite x+2y=5 as x+2(3-2x)=5. 3. Now you have an equation with one variable! Solve it, and use what you got to find the other variable. Sal Khan video https://cdn.kastatic.org/googleusercontent/WFPUyv4Z65vD5DDKfQDmETlkFwVvjIApANcxoJ1brGA5Ov6_-mJYCK1T3gdsSAdyFhQ3yT4i4PDoXd77JMOaBo2a Systems of equations with substitution: potato chips To solve a system of equations using substitution... 1. Isolate one of the variables in one of the equations, e.g. rewrite 2x+y=3 as y=3-2x. 2. You can now express the isolated variable using the other one. *Substitute* that expression into the second equation, e.g. rewrite x+2y=5 as x+2(3-2x)=5. 3. Now you have an equation with one variable! Solve it, and use what you got to find the other variable. https://cdn.kastatic.org/ka-youtube-converted/2EwPpga_XPw.mp4/2EwPpga_XPw.mp4 321 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-of-equations-with-substitution/v/practice-using-substitution-for-systems 2021-06-21T15:29:06Z Systems of equations with substitution: -3x-4y=-2 & y=2x-5 Learn to solve the system of equations -3x - 4y = -2 and y = 2x - 5 using substitution. Sal Khan video https://cdn.kastatic.org/googleusercontent/628RjCJ_CsSqK0HqbIq8aNzgQ257wowuvmMVKKnUJmO9mpgtI2jeA2M8Zz15za_g4gB2lK1zv-A2gIIc8JNmvrKv Systems of equations with substitution: -3x-4y=-2 & y=2x-5 Learn to solve the system of equations -3x - 4y = -2 and y = 2x - 5 using substitution. https://cdn.kastatic.org/ka-youtube-converted/GWZKz4F9hWM.mp4/GWZKz4F9hWM.mp4 261 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-of-equations-with-substitution/a/substitution-method-review-systems-of-equations 2021-06-21T15:29:14Z Substitution method review (systems of equations) The substitution method is a technique for solving a system of equations. This article reviews the technique with multiple examples and some practice problems for you to try on your own. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-of-equations-with-substitution/e/systems_of_equations_with_substitution 2025-12-28T12:11:43.202987517Z Systems of equations with substitution Solve systems of equations where one of the equations is solved for one of the variables. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/v/king-s-cupcakes-solving-systems-by-elimination 2021-04-19T14:43:38Z Systems of equations with elimination: King's cupcakes Sal uses simple elimination to figure out how many cupcakes are eaten by children and adults. Sal Khan video https://cdn.kastatic.org/googleusercontent/uMqqyuzKoKwjhXs4XtirvI9Tvum_GYku3_fY8Qft5Som0zvncK75ujNlYBfP36Y0YUX3i8RkXurmzGljaP-WZWw Systems of equations with elimination: King's cupcakes Sal uses simple elimination to figure out how many cupcakes are eaten by children and adults. https://cdn.kastatic.org/ka-youtube-converted/xCIHAjsZCE0.mp4/xCIHAjsZCE0.mp4 540 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/e/combining-equations 2021-07-08T21:56:40Z Combining equations Practice combining equations to learn when and how variables can be eliminated in a system of linear equations. Jeff Dodds exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/v/elimination-strategies 2021-04-19T14:43:37Z Elimination strategies Practice identifying strategies for eliminating variables in a system of equations. video https://cdn.kastatic.org/googleusercontent/MdW7YRs__-FjSHt3yE6Kef5Bk3z-vHRenKQWIk4SPleIEAtm2i0i_5zLHzUSM7EHkxD7fyDY4gxiFqSO2p-hDtk Elimination strategies Practice identifying strategies for eliminating variables in a system of equations. https://cdn.kastatic.org/ka-youtube-converted/5jgSW5Jb-Y8.mp4/5jgSW5Jb-Y8.mp4 436 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/e/elimination-strategies 2025-11-25T13:30:39.004372487Z Elimination strategies Practice recognizing effective strategies when using elimination to solve a system of equations. Jeff Dodds exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/v/simple-elimination-practice 2021-04-19T14:43:37Z Systems of equations with elimination: x-4y=-18 & -x+3y=11 Sal solves the following system of equations by eliminating x: x-4y=-18 and -x+3y=11. Sal Khan video https://cdn.kastatic.org/googleusercontent/d2DLGZYUCnN2rbaWWNiLKf7sMsIOEzLeMxjvB8VePoc29qHG-cvvnfdD6Agj2ILs1j3E1MCGU3OGfG7dOql900w Systems of equations with elimination: x-4y=-18 & -x+3y=11 Sal solves the following system of equations by eliminating x: x-4y=-18 and -x+3y=11. https://cdn.kastatic.org/ka-youtube-converted/NPXTkj75-AM.mp4/NPXTkj75-AM.mp4 359 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/e/systems_of_equations_with_elimination_0.5 2025-12-28T12:11:43.202987517Z Systems of equations with elimination Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out). Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/v/how-many-bags-of-potato-chips-do-people-eat 2021-04-19T14:43:37Z Systems of equations with elimination: potato chips Sal solves another system of equations using elimination. Sal Khan video https://cdn.kastatic.org/googleusercontent/XCQGhXter_5zTASn7okPFXdvHY5VoNVppMWnRAYgr2Q71SaOJSMSWFnLpN96G1BGpiiZR7Fmh_q_pFR6vhx9T6lpoQ Systems of equations with elimination: potato chips Sal solves another system of equations using elimination. https://cdn.kastatic.org/ka-youtube-converted/VuJEidLhY1E.mp4/VuJEidLhY1E.mp4 561 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/v/solving-systems-of-equations-by-multiplication 2021-05-24T11:10:24Z Systems of equations with elimination (and manipulation) In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. See how it's done in this video. Sal Khan video https://cdn.kastatic.org/googleusercontent/8fSMiND4KoKRtNsTeuNYD3FNP5jjdekKoO6VEN3OYxMZXYCyDO4Mt-TrR7tmWEco3yi9_9rFgkM_27-e2vEw7aEl Systems of equations with elimination (and manipulation) In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. See how it's done in this video. https://cdn.kastatic.org/ka-youtube-converted/wYrxKGt_bLg.mp4/wYrxKGt_bLg.mp4 721 Resolver sistemas de ecuaciones por distintos métodos https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/a/elimination-method-review 2021-04-29T07:49:27Z Elimination method review (systems of linear equations) The elimination method is a technique for solving systems of linear equations. This article reviews the technique with examples and even gives you a chance to try the method yourself. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/e/systems_of_equations_with_elimination 2025-12-28T12:11:43.202987517Z Systems of equations with elimination challenge Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out). Tomer Gal exercise