Find the Points of Intersection of Two Lines

Find the intersection point of two lines given by equations \( a_1x + b_1y = c_1 \) and \( a_2x + b_2y = c_2 \). Generate random problems, see detailed algebraic steps using Cramer's Rule, and visualize both lines and their intersection point.

📐 Line-Line Intersection Finder

Find intersection point of two lines using Cramer's Rule

Line 1: \( 2x - y = 1 \), Line 2: \( x + y = 2 \)
Find the intersection point. Click "Show me" for each step.

📖 Step-by-Step Solution

STEP 1: Write the system of equations
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STEP 2: Use Cramer's Rule to find determinants
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STEP 3: Write the coordinates of the intersection point
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📊 Graphical Visualization
Line 1: Green | Line 2: Blue | Intersection point: Red

Adjust axis scale to see the intersection point clearly.