Question

2x+3y+4=0,x_5y=11 simultaneous equation by gramers rule

Answer 1

It is cramers rule.
let.
a1=2, b1=3 and c1=4 from eq. 2x+3y+4=0
and a2=1, b2=5 and c2=-11 from eq. x-5y-11=0

now, by cramers rule.
| a1 b1 |
| a2 b2 |...these are determinants.
..
| 2 3 |
| 1 5 |
D=2×3 - 3×1 = 6-3=3

Dx=
| 3 4 |
| -5 -11 |
= -33 -(4×-5)
=-33+20
Dx= -13
..
Dy
| 2 4 |
| 1 -11 |
=2×-11 - (4×1)
=-22-4
=-24
now
x=Dx/D= -13/3
y=Dy/D= -24/3= -8
: . x= -13/3
and y= -8.