Question

Solve the following system of linear equations using Cramer's Rule: 2x - 5y = 8, 4x + 2y = 6.​

Answer 1

Ans.

∆=a1b2-a2b1,

∆x=b1c2-b2c1

∆y=c1a2-c2a1

in the above given equation

a1=2, a2=4

b1=-5, b2=2

c1=-8, c2=-6

∆=a1b2-a2b1

=( 2*2)-(4*-5)

=4-(-20)

4+20

=24

∆x=(-5*-6)-(2*-8)

=30-(-16)

=30+16

=46

∆y=c1a2-c2a1

=(-6*4)-(-8*2)

=-24+16

=-8

X=∆x/∆

=46/24

=23/12

Y=-8/24

=-1/3