1.

Examine the consistency of the system of equations`2x - y = 5``x + y = 4`

Answer» Given system of equations,
2x-y=5
x+y=5
`rArr" "[{:(2,-1),(1,1):}][{:(x),(y):}]=[{:(5),(4):}]rArrAX=B`
`therefore" "A[{:(2,-1),(1,1):}]`
`rArr" "|A|[{:(2,-1),(1,1):}]=2-(-1)=3ne0`
`therefore`A is invertible.
`rArr` Given system of equation is consistent.


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