Which statement is true about the equations negative 3 x plus 4 y is equal to 12 and 1 fourth x minus 1 third y is equal to 1 ?

Multiply the second equation by 12 to clear its fractions: 3x − 4y = 12. Multiplying the first equation by −1 gives 3x − 4y = −12. The equations have the same left-hand side but different constants, so they represent distinct parallel lines and have no solution. The true statement is that the system has no solution because the lines are parallel.

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