Which values of k would cause this system of equations to have no solution? Check all that apply.6x + 4y = 14,3x + 2y = k

Divide the first equation, 6x + 4y = 14, by 2 to get 3x + 2y = 7. The second equation has the same left side, so the system has a solution only when k = 7. For any other listed value of k, the equations have identical left sides but different right sides, making them inconsistent. Thus the values are –2, 5, 10, and 21.

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