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For the system $a_1x+b_1y=c_1$, $a_2x+b_2y=c_2$, Cramer's rule gives
A$x=\dfrac{D}{D_1},\; y=\dfrac{D}{D_2}$
B$x=\dfrac{D_1}{D},\; y=\dfrac{D_2}{D}$
C$x=\dfrac{D_2}{D_1},\; y=\dfrac{D_1}{D_2}$
D$x=D_1D,\; y=D_2D$
Answer & Solution
Correct answer: B. $x=\dfrac{D_1}{D},\; y=\dfrac{D_2}{D}$
For two linear equations in two unknowns, Cramer's rule states $x=\frac{D_1}{D}$ and $y=\frac{D_2}{D}$, provided $D\ne 0$. Here $D$ is the determinant of coefficients and $D_1,D_2$ are obtained by replacing the respective variable columns by constants.
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