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Mathematics 11 Online
OpenStudy (anonymous):

Does this system of equations have one solution, no solution, or an infinite number of solutions? 2x+3y=6 4x+6y=12

jhonyy9 (jhonyy9):

no solution

OpenStudy (anonymous):

how do you get that

jhonyy9 (jhonyy9):

than multiply first by 2 and subtract first from second you will get 0 0 0

OpenStudy (anonymous):

No solution

OpenStudy (anonymous):

ok thx

jhonyy9 (jhonyy9):

yw

OpenStudy (anonymous):

o ok i see

OpenStudy (anonymous):

Also using the matrix inverse idea,the det of the coefficient matrix is zero hence no solution as this is non-homogeneous equations

OpenStudy (anonymous):

The matrix \[\matrix{2&3&6\\4&6&12}\] is row irreducible and thus inconsistent, meaning there are no solutions to th esystem of equations

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