alleryFor 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.
Keep practising General Knowledge
Browse all General Knowledge questions for GRE, or explore more General Science topics.
Related questions
If $\alpha, \beta, \gamma$ are the roots of the equation $x^3 + 4x + 1 = 0$, then $(\alphaIf $f(x)$ is odd function and $f(1) = a$, and $f(x + 2) = f(x) + f(2)$ then the value of $If $ in^{-1}\left(\frac{5}{x}\right) + in^{-1}\frac{12}{x} = \frac{\pi}{2}$, then $x =$If the $4^{\text{th}}$ term in the expansion of $\left( ax + \frac{1}{x} \right)^n$ is $\fIf the term independent of $x$ in the $\left( qrt{x} - \frac{k}{x^2} \right)^{10}$ is 405The least positive integer $n$ such that $\left( \frac{2i}{1 + i} \right)^n$ is a positiveIf $\omega (\neq 1)$ be a cube root of unity and $(1 + \omega^2)^n = (1 + \omega^4)^n$, thConsider an infinite geometric series with first term $a$ and common ratio $r$. If its sum