Formulas for Cramer's Rule

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Slide 1: 

Formula for Cramer’s Rule Cramer’s Rule is a method for solving systems of equations that uses determinants. It takes the system of equations and uses the coefficients to form determinants that will solve for each of the variables.

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Formula for a 2 x 2 system: Given a1x + b1y = c1 a2x + b2y = c2

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Formula for a 3 x 3 system: Given a1x + b1y +c1z = d1 a2x +b2y + c2z = d2 a3x + b3y + c3z = d3

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You will notice that all the denominators are the same. When you are finding x, replace the x coefficients with the constants, when you are finding y, replace the y coefficients with the constants, and when you are finding z, replace the z coefficients with the constants.