Examine the consistency of the system of equations`x + 2 y = 2``2x + 3y = 3`

Explanation

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