# SOLUTION: 2x+3y=3 4x+6y=6 What is the solution of the system? (type an ordered pair. type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many s

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: 2x+3y=3 4x+6y=6 What is the solution of the system? (type an ordered pair. type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many s      Log On

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 Question 183761: 2x+3y=3 4x+6y=6 What is the solution of the system? (type an ordered pair. type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions)Answer by jim_thompson5910(28595)   (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 -2. 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 always true, this means that there are an infinite number of solutions. So the system is consistent and dependent.