Verified Answer :

\(3r-4s=0\)
\(3r=4s\)
\(r=\frac{4}{3}s\)

\(2r+5s=23\)
\(2(\frac{4}{3}s)+5s=23\)
\(\frac{8}{3}s+5s=23\)
\(5\frac{8}{3}s=23\)
\(s=3\)

\(3r-4s=0\)
\(3r-4(3)=0\)
\(3r=12\)
\(r=4\)

s=3, r=4

Check:
\(2r+5s=23\)
\(2(4)+5(3)=23\)
\(8+15=23\)
\(23=23\) CHECK

Answer:

The answer would be (8, -7)