Question

the following pair of linear equation is consistent or inconsistent 3 x minus 2 Y is equal to 5, 2X + 3 Y is equal to 8

Answer 1

here is the answer for your question.
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Answer 2

3x-2y=5
2x-3y=8
it is unique solution
unique solution and infinitely many solution is consistent
3/2 ≠ -2/3 ≠ 5/8
so it is consistent