Question

Tell whether the system has one solution, infinitely solution, or no solution.
1/3y = 7/3x + 5/3
x-3y = 5

Answer 1

The first solution is
\[\left(\frac{1}{10}
\left(21-\sqrt{1141}\right)
,\frac{1}{30}
\left(-29-\sqrt{1141}\right
)\right)
\]

The second solution is
\[\left(\frac{1}{10}
\left(21+\sqrt{1141}\right)
,\frac{1}{30}
\left(\sqrt{1141}-29\right)
\right)
\]

Try to find them.