Solve this

Given: $2 x-y=17$

$3 x+5 y=6$

Using Cramers Rule, we get

$\mathrm{D}=\mid 2-1$

$3 \quad 5 \mid=10+3=13$

$\mathrm{D}_{1}=\mid 17-1$

$6 \quad 5 \mid=85+6=91$

$\mathrm{D}_{2}=\mid 2 \quad 17$

$3 \quad 6 \mid=12-51=-39$

Now,

$\mathrm{x}=\frac{\mathrm{D}_{1}}{\mathrm{D}}=\frac{91}{13}=7$

$\mathrm{y}=\frac{\mathrm{D}_{2}}{\mathrm{D}}=\frac{-39}{13}=-3$

$\therefore \mathrm{x}=7$ and $\mathrm{y}=-3$