ax+by=k cx+dy=j corresponding matrix is a b   x =  k c d    y=  j Solve this matrix equation and show that the solutions will always have the form X= dk-bj/det(A) Y=ck-aj/det(B) Where A is the matrix of coefficients.  Use above formulas to solve 5x-4=12 -3x+8y=5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ax+by=k

cx+dy=j

corresponding matrix is

a b   x =  k

c d    y=  j

Solve this matrix equation and show that the solutions will always have the form

X= dk-bj/det(A)

Y=ck-aj/det(B)

Where A is the matrix of coefficients. 

Use above formulas to solve

5x-4=12

-3x+8y=5

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