Question:
$2 x-y=1$
$7 x-2 y=-7$
Solution:
Given : $2 x-y=1$
$7 x-2 y=-7$
Using Crammer's Rule, we get
$\mathrm{D}=\mid 2 \quad-1$
$7-2 \mid=-4+7=3$
$\mathrm{D}_{1}=\mid 1=-1$
$-7-2 \mid=-2-7=-9$
$\mathrm{D}_{2}=\mid 2 \quad 1$
$7-7 \mid=-14-7=-21$
Now,
$\mathrm{x}=\frac{\mathrm{D}_{1}}{\mathrm{D}}=\frac{-9}{3}=-3$
$\mathrm{y}=\frac{\mathrm{D}_{2}}{\mathrm{D}}=\frac{-21}{3}=-7$
$\therefore \mathrm{x}=-3$ and $\mathrm{y}=-7$