Solving System of Linear Equations by GRAPHING: 𝑦 = 2𝑥 + 1 and 𝑦 = 4𝑥 – 1 | Step-by-Step Algebra

This video will guide you through [How to Solve the System of Linear Equations “𝑦 = 2𝑥 + 1 and 𝑦 = 4𝑥 – 1” 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.

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🌏 Translated titles and subtitles have been added to this video:
Sistema de Ecuaciones Lineales [2]-"Resolver graficando" | Solución de álgebra paso a paso
System linearer Gleichungen [2]-"Lösen durch Graphen" | Schritt-für-Schritt-Algebra-Lösung
Système d'équations linéaires [2]-"Résoudre graphiquement" | Solution d'algèbre étape par éta
Sistema de Equações Lineares [2]-"Resolver por gráficos" | Solução de álgebra passo a passo
रैखिक समीकरणों की प्रणाली [2]-"रेखांकन द
System of Linear Equation [2]-"Solve by graphing" | Step-by-Step na Algebra Solution
Sistem Persamaan Linear [2]-"Selesaikan dengan grafik" | Solusi Aljabar Langkah-demi-Langkah
線形方程式系 [2]-「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 [2]-"Решить графически" | Пош
Hệ phương trình tuyến tính [2]-"Giải bằng đồ thị" | Giải pháp đại số từng