algebra 1

How many solutions does this system have-2x+y=3 6x=9-3y
A. one
B. none
C. infinite
D. two

A??

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asked by sydney
  1. answer was c

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    posted by sydney
  2. -2x+y=3 ----> 2x - y = -3

    6x=9-3y
    6x + 3y = 9
    divide by 3 ,
    2x + y = 3

    Since the slopes are different, they will intersect.
    So ONE solution.

    Proof:
    http://www.wolframalpha.com/input/?i=plot+-2x%2By%3D3+,+6x%3D9-3y

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    posted by Reiny

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