• could anyone help me out with this problem and show me how to do it so i will know how to do the rest of them?


    Define the following as independent, dependent, or incosistent

    10x+2y=8
    y=-5x+5


  • inconsistent. The slopes are the same but not the y intercept, making the two lines parallel.

    edit: Wait, do you need to solve it?


  • First see if you can come up with a solution for the system. You only have to try to solve for one of the variables in order to identify the system. For this, solve by substitution:

    10x + 2y = 8 (substitute -5x + 5 for y into the equation)
    10x + 2(-5x + 5) = 8
    10x - 10x + 10 = 8
    10 = 8

    The variable was canceled out of the equation, and the resulting equation is false, as obviously 10 does not equal 8. Therefore, this system is inconsistent.

    ANSWER: Inconsistent

    If you had gotten a specific value for either x or y, where x or y clearly equaled something, then the system would have been consistent and independent. If the variable was canceled out of the equation, but the resulting equation was still true, such as it ended up as 3 = 3, then the system has infinitely many solutions and the system would be consistent dependent. Remember that inconsistent = no solution, consistent = solution, independent = one solution, dependent = infinitely many solutions. If it is inconsistent, like this one, then it is neither independent nor dependent.







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    jack on July 4th, 2009 | File Under enart.gdrw.com | - edit