# SOLUTION: SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER IT BE ADDITION OR SUBSTITUTION) 6) y-3x= -2 6x-2y= 4 on this one i think i should use substitution, altoug

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER IT BE ADDITION OR SUBSTITUTION) 6) y-3x= -2 6x-2y= 4 on this one i think i should use substitution, altoug      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

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

 Click here to see ALL problems on Matrices-and-determiminant Question 136789: SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER IT BE ADDITION OR SUBSTITUTION) 6) y-3x= -2 6x-2y= 4 on this one i think i should use substitution, altough i'm really confused on this process.. please help!! thanks, lj23kfuller@yahoo.comAnswer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!y-3x= -2 6x-2y= 4 --------------- Substitute to get: 6x -2*(3x-2) = -2 6x-6x+4 = -2 4 = -2 --------------- This is a contradiction that resulted from assuming the x's and the y's in the two equations were the same for both equations. ---------------- That assumption lead to the contradiction. Therefore the x's and the y's cannot be the same in the two equations. That means there is no solution for the system. ------------------ That also means the system of equations is "inconsistent". --------------------- If you graphed the two equation you would get parallel lines. ===================== Cheers, Stan H.