Solving System of Linear Equations by GRAPHING: 2𝑥 + 𝑦 = 7 and 𝑥 - 2𝑦 = 6 | Step-by-Step Algebra

This video will guide you through [How to Solve the System of Linear Equations “2𝑥 + 𝑦 = 7 and 𝑥 - 2𝑦 = 6” by GRAPHING].
📌 How to Solve a System of Linear Equations by GRAPHING
✓ Step 1. Graph the first equation.
✓ Step 2. Graph the second equation on the same rectangular coordinate system.
✓ Step 3. Determine whether the lines intersect, are parallel, or are the same line.
✓ Step 4. Identify the solution.
- If the lines intersect, the point of intersection is the solution to the system.
- If the lines are parallel, the system has no solution.
- If the lines are the same, the system has an infinite number of solutions.
🔑 Key Things to Remember:
📍 How to Graph a Line Using its Slope and 𝑦-intercept.
✓ Step 1. Find the slope-intercept form (𝑦 = 𝑚𝑥 + 𝑏) of the equation of the line.
✓ Step 2. Identify the slope (𝑚) and 𝑦-intercept (𝑏).
✓ Step 3. Plot the 𝑦-intercept (0, 𝑏).
✓ Step 4. Use the slope formula, 𝑚 = (rise)/(run), to identify the rise and the run.
✓ Step 5. Starting at the 𝑦-intercept (0, 𝑏), count out the rise and run to mark the second point.
✓ Step 6. Connect the points with a line.
〰️
✅ More BITE-SIZE VIDEOS on “Solving Systems of Linear Equations by GRAPHING"
➤ Solve “𝑦 = 2𝑥 + 1 and 𝑦 = 4𝑥 - 1” by graphing: • Solving System of Line...
➤ Solve “3𝑥 + 𝑦 = -1 and 2𝑥 + 𝑦 = 0” by graphing: • Solving System of Line...
➤ Solve “𝑥 + 𝑦 = 2 and 𝑥 - 𝑦 = 4” by graphing: • Solving System of Line...
➤ Solve “𝑦 = 6 and 2𝑥 + 3𝑦 = 12” by graphing: • Solving System of Line...
➤ Solve “𝑦 = (1/2)𝑥 - 3 and 𝑥 - 2𝑦 = 4” by graphing: • Solving System of Line...
➤ Solve “𝑦 = 2𝑥 - 3 and -6𝑥 + 3𝑦 = -9” by graphing: • Solving System of Line...
🗂 Playlist: “Solving Systems of Linear Equations by GRAPHING” ➜ • Solving Systems by Gra...
🗂 Playlist: “Solving Systems of Linear Equations by SUBSTITUTION” ➜ • Solving Systems by Sub...
🗂 Playlist: “Solving Systems of Linear Equations by ELIMINATION” ➜ • Solving Systems by Eli...
〰️
✏️ Need FREE MATH HELP? Check out our website on Systems of Linear Equations ➜ math-doodle.co...
〰️
▶️ Click Here to Subscribe to our Channel ➜ / @mathdoodle
✍ Need to review Pre-Algebra topics? Check out our Pre-Algebra channel ➜ / @mathdoodle-pre-algebr...
〰️
📖 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: math-doodle.com/
📧 E-mail: [e-mail]
Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯
〰️
🌏 Translated titles and subtitles have been added to this video:
Sistema de Ecuaciones Lineales [1]-"Resolver graficando" | Solución de álgebra paso a paso
System linearer Gleichungen [1]-"Lösen durch Graphen" | Schritt-für-Schritt-Algebra-Lösung
Système d'équations linéaires [1]-"Résoudre graphiquement" | Solution d'algèbre étape par éta
Sistema de Equações Lineares [1]-"Resolver por representação gráfica" | Solução de álgebra p
रैखिक समीकरणों की प्रणाली [1]-"रेखांकन द
System of Linear Equation [1]-"Solve by graphing" | Step-by-Step na Algebra Solution
Sistem Persamaan Linear [1]-"Selesaikan dengan grafik" | Solusi Aljabar Langkah-demi-Langkah
線形方程式系 [1]-「グラフで解く」 |ステップバイステップの代数ソリューション
Система линейных уравнений [1]-"Решить графически" | Пош
Hệ phương trình tuyến tính [1]-"Giải bằng đồ thị" | Giải pháp đại số từng