[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 𝑥 + 𝑦 = 7 and 𝑥 – 𝑦 = 3

This video will guide you through [How to solve the system of linear equations “𝑥 + 𝑦 = 7 and 𝑥 – 𝑦 = 3" by elimination]. 〰️ 📌 How to Solve a System of Linear Equations by ELIMINATION ✓ Step 1. Write both equations in standard form. If any coefficients are fractions, clear them. ✓ Step 2. Make the coefficients of one variable opposites. - Decide which variable you will eliminate. - Multiply one or both equations so that the coefficients of that variable are opposites. ✓ Step 3. Add the equations resulting from Step 2 to eliminate one variable. ✓ Step 4. Solve for the remaining variable. ✓ Step 5. Substitute the solution from Step 4 into one of the original equations. Then solve for the other variable. ✓ Step 6. Write the solution as an ordered pair. 〰️ ✅ More BITE-SIZE VIDEOS on "Solving Systems of Linear Equations by ELIMINATION” ➤ Solve “2𝑥 + 𝑦 = 7 and 𝑥 – 2𝑦 = 6” by elimination: https://youtu.be/126V0Yny9tI ➤ Solve “3𝑥 – 2𝑦 = –2 and 5𝑥 – 6𝑦 = 10” by elimination: https://youtu.be/dA3yJe61aAo ➤ Solve “4𝑥 – 3𝑦 = 9 and 7𝑥 + 2𝑦 = –6” by elimination: https://youtu.be/tIhP31N3j1s ➤ Solve “𝑥 + (1/2)𝑦 = 6 and (3/2)𝑥 + (2/3)𝑦 = (17/2)” by elimination: https://youtu.be/2Popgoj2kog ➤ Solve “3𝑥 + 4𝑦 = 12 and 𝑦 = 3 – (3/4)𝑥” by elimination: https://youtu.be/6fVVGWnDA-Q ➤ Solve “–6𝑥 + 15𝑦 = 10 and 2𝑥 – 5𝑦 = –5” by elimination: https://youtu.be/MS9Ii0jW-LE 🗂 Playlist: “Solving Systems of Linear Equations by GRAPHING” ➜ https://www.youtube.com/playlist?list=PLzNv5AZByumtsrai9E6s284nxameldpsz 🗂 Playlist: “Solving Systems of Linear Equations by SUBSTITUTION” ➜ https://www.youtube.com/playlist?list=PLzNv5AZByumscLfdTuoT4hEjF61vOUEJD 🗂 Playlist: “Solving Systems of Linear Equations by ELIMINATION” ➜ https://www.youtube.com/playlist?list=PLzNv5AZByumvyiqlzZW_pIOdId4jbtkaJ 〰️ ✏️ Need FREE MATH HELP? Check out our website on Systems of Linear Equations ➜ https://math-doodle.com/math-doodle-home/algebra/systems-of-linear-equations/ 〰️ ▶️ Click Here to Subscribe to our Channel ➜ https://www.youtube.com/channel/UCOZ_5djoBBMPVF-u0Gw9szw?sub_confirmation=1 〰️ 📖 About Math Doodle: This channel is our effort to support students, teachers, and parents by sharing our tutorial and problem-walkthrough contents that cover a wide range of algebra topics! 🌐 Website: https://math-doodle.com/ 📧 E-mail: info@math-doodle.com Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯 〰️ 🌏 Translated titles: Spanish: Resolver el sistema de ecuaciones lineales por eliminación. French: Résoudre le système d'équations linéaires par élimination German: Lösen Sie das lineare Gleichungssystem durch Elimination Portuguese: Resolva o sistema de equações lineares por eliminação Hindi: उन्मूलन द्वारा रैखिक समीकरणों की प्रणाली को हल करें Filipino: Lutasin ang sistema ng mga linear equation sa pamamagitan ng elimination Indonesian: Selesaikan sistem persamaan linear dengan cara eliminasi Japanese: 消去法で線形方程式を解く Russian: Решить систему линейных уравнений методом исключения Vietnamese: Giải hệ phương trình tuyến tính bằng phương pháp khử