[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 4𝑥 – 3𝑦 = 9 and 7𝑥 + 2𝑦 = –6

This video will guide you through [How to solve the system of linear equations “4𝑥 – 3𝑦 = 9 and 7𝑥 + 2𝑦 = –6" by elimination].

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📌 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.

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🌏 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