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Mathematics 9 Online
OpenStudy (anonymous):

what is the solution to the system of equations below? 3x + 5y = 9 9x + 15y = 27

OpenStudy (michele_laino):

please, divide both sides of the second equation by 3, and write what you got

OpenStudy (anonymous):

Do I divide the 15y by 3 too? If yes, I got 3x + 5y = 9. If no, I got 3x + 15y = 9

OpenStudy (michele_laino):

your first answer is the correct one. Are you agree?

OpenStudy (michele_laino):

please note that the new form of your second equation is equal to the one of your first equation. That means your system is composed by two equivalent equations

OpenStudy (michele_laino):

so, your system contains actually one equation, and two unknown quantitie, namely x, and y. In other words your system is undetermined or, it has an infinity of solutions, each of them depending from one parameter

OpenStudy (michele_laino):

@SmokeyRiver

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