Answer
$\left(3,2\right),\left(3,-2\right),\left(-3,2\right),\left(-3,-2\right)$.
Work Step by Step
1. The exercise does not limit the method to use.
2. Use graphing method, see graphs of $x^2-4y^2+7=0$ and $3x^2+y^2=31$.
3. We can identify the intersect(s) $\left(3,2\right),\left(3,-2\right),\left(-3,2\right),\left(-3,-2\right)$.
4. Alternatively, one can multiply 4 to the 2nd equation and add the results to the 1st equation to eliminate variable $y$, then solve for $x$ first.
