Solving a Linear System with Cramer's Rule

This animation walks through solving 2x + 3y = 4 and x - y = 7 using Cramer's Rule. It shows how to set up the coefficient matrix, compute the main determinant, then form and evaluate the x- and y-determinants by substituting the constants column. Each determinant calculation is shown step by step, followed by dividing to find x and y, then verifying the solution in both original equations. Useful for algebra and linear algebra students learning matrix-based methods for solving systems.

9:16 · every frame verified for overlaps, spacing and edges before rendering

The prompt that made it

Cramer Rules animation :detailed solving video equation 2x + 3y = 4 and x-y=7.

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• Show how Cramer's Rule extends to a 3x3 system of three equations
• Compare solving the same system using substitution versus Cramer's Rule side by side
• Explain what it means when the main determinant equals zero in Cramer's Rule

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