A system of equations is given. y is equal to negative 3 x plus 6 and y is equal to 6 minus 3 x Which of the following statements best describes the two lines?

Both equations simplify to y = -3x + 6. Each line therefore has slope -3 and y-intercept 6, so they represent the same line. Every point on that line satisfies both equations, giving infinitely many solutions. The correct choice is B: they have the same slope and the same y-intercept, so they have infinitely many solutions.

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