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Okay, I'm not too sure about this one. Help anyone? What kind of system is the set of equations below? 2x+3y=6 2x+3y=2
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a. Inconsistent -- no solution b. Consistent -- a single solution c. Dependent -- infinite number of solutions
It is a system of linear equations.
okay. i get that, but which one exactly? I picked dependent but I'm not too sure.
This would be an inconsistent system. Notice that both the equations are identical, except one is equal to 2, and the other to 6. This would imply that 2=6. Since this is an impossibility, there can't be any solution so the system is inconsistent.
thanks! I really appreciate it! :)
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