# SOLUTION: x+y=11 Use Cramer's rule to solve the x-y=5 following system of equations. If D=0, use another method to solve the system.

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: x+y=11 Use Cramer's rule to solve the x-y=5 following system of equations. If D=0, use another method to solve the system.      Log On

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 Click here to see ALL problems on Matrices-and-determiminant Question 94795: x+y=11 Use Cramer's rule to solve the x-y=5 following system of equations. If D=0, use another method to solve the system.Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website! x+y=11 Use Cramer's rule to solve the x-y=5 following system of equations. If D=0, use another method to solve the system. ```> To solve the system of equations by Cramer's rule: D is the matrix of coefficients as they appear on the left of the equal sign: D = = Dx is the matrix which is like D except that, since x is the FIRST unknown letter, it has its FIRST column replaced by the column of numbers on the right side of the equal signs in the original system, . So Dx = = ================================================================== Dy is the matrix which is like D except that, since y is the SECOND unknown letter, it has its SECOND column replaced by the column of numbers on the right side of the equal signs in the original system, . So Dy = = ============================================================= Then x = and y = ============================================================= So for your system: x + y = 11 x - y = 5 Write that as D is the matrix of coefficients as they appear on the left of the equal sign: D = = = = ================================================== Dx is the matrix which is like D except that, since x is the FIRST unknown letter, it has its FIRST column replaced by the column of numbers on the right side of the equal signs in the original system, . So Dx = = = = ================================================== Dy is the matrix which is like D except that, since y is the SECOND unknown letter, it has its SECOND column replaced by the column of numbers on the right side of the equal signs in the original system, . So Dy = = = = ==================================================== Then x = = = and y = = = . ==================================================== Edwin```