Question

Date
solve
system of linear equation
by Cramers rule
2x-y=8;3x+2y=-2​

Answer 1

Step-by-step explanation:

2x- y=8 ; 3x + 2y=-2

comparing with ax +by = c

a1 =2 , b1 = -1 , c1=8

a2=3 , b2= 2 , c2= -2

D = la1 b1l= l2 -1l= (2*2)-(3*-1)= 4+3=7

la2 b2l l3 2l

Dx = lc1 b1l= l8 -1l=(8*2)-(-1*-2)=16-2=14

lc2 b2l l-2 2l

Dy= la1 c1l=l2 8l= (2*-2)-(8*3)=-4-24=20

la2 c2l l3 -2l

by using Cramer's rule

X=Dx/D= 14/7=2

y=Dy/D=20/7=2.8

therefore (X,y) = (2,2.8)

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