# SOLUTION: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent. x-y=3 -6x+6y=17

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent. x-y=3 -6x+6y=17      Log On

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 Click here to see ALL problems on Linear-systems Question 175923: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent. x-y=3 -6x+6y=17Answer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 6. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Since is NEVER true, this means that there are no solutions. So the system is inconsistent.