# SOLUTION: x+y+z=6 2x-y+z=3 x+2y-3z=-4 solve using cramers rule

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 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Question 355223: x+y+z=6 2x-y+z=3 x+2y-3z=-4 solve using cramers ruleFound 2 solutions by Alan3354, Edwin McCravy:Answer by Alan3354(31532)   (Show Source): You can put this solution on YOUR website!x+y+z=6 2x-y+z=3 x+2y-3z=-4 ------------ You can check your answers. x = 1 y = 2 z = 3 Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!x+y+z=6 2x-y+z=3 x+2y-3z=-4 solve using cramers rule ``` Write in all the 1 and -1 coefficients: Cramer's rule: There are 4 columns, 1. The column of x-coefficients 2. The column of y-coefficients 3. The column of z-coefficients 4. The column of constants: There are four determinants: 1. The determinant consists of just the three columns of x, y, and z coefficients. in that order, but does not contain the column of constants. . It has value . I'm assuming you know how to find the value of a 3x3 determinant, for that's a subject all by itself. If you don't know how, post again asking how. 2. The determinant is like the determinant except that the column of x-coefficients is replaced by the column of constants. does not contain the column of x-coefficients. . It has value . 3. The determinant is like the determinant except that the column of y-coefficients is replaced by the column of constants. does not contain the column of y-coefficients. . It has value . 4. The determinant is like the determinant except that the column of z-coefficients is replaced by the column of constants. does not contain the column of z-coefficients. . It has value . Now the formulas for x, y and z are Edwin```