How many solutions does the system of equations have? y= -2x +9 6x + 3y =27 a) one b) two c) infinitely many d) none

As 27 will always be equal to 27, you can place whatever you want for x and y and the equation would still be satisfied, as it turns out that it doesn't depend on the x or y value.
Therefore, the system has infinite solutions.

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