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solve by elimination

5r-6s=18
6r-5s=46
The solution is
There are infinitely many solutions
there is no solution

2 answers

There is a unique solution.

5r-6s=18 ...(1)
6r-5s=46 ...(2)

6(1)
30r-36s=108...(1a)
30r-25s=230...(2a)

(2a)-(1a)
0r+11s = 122
s=122/11
r=(18+6*122/11)/5
= 186/11

Back-substitute to make sure the answers are correct.
So is there no solution to this?
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