Question

5u + 3v = -16
2u + v = -8
Find the solution.

Answer 1

\[5u = -16 - 3v\]
\[u = \frac{ -16-3v }{ 5 }\]
\[\frac{ -32-6v }{ 5 }+v = -8\]
\[-32-6v=-40-5v\]
\[-32+40=6v-5v\]
\[v=8\]

Then we replace v=8 in the first equation:
\[5u=-16-24\]
\[u=-40/5 \]
\[u=-8\]

So finally,
\[ u=-8, v=8\]