Using Cramer’s Rule, what is the value of x in the solution to the given system of linear equations? 3 x plus 4 y is equal to 12 x minus 6 y is equal to negative 18

The coefficient determinant is 3(−6) − 4(1) = −22, so the system has a unique solution. For Cramer’s Rule, replace the x-column with the constants: the determinant is 12(−6) − 4(−18) = 0. Thus x = 0 ÷ (−22) = 0, which is choice D.

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