Answer
(a) Linear (b) $(-2, 3)$
Work Step by Step
Given the system of equations:
$\begin{cases} x+3y=7\\6x+2y=-4 \end{cases}$
(a) Both equations are lines, so the system is linear.
(b) Use substitution method: from the first eqaution, we get $x=7-3y$, use it in the second equation to get $5(7-3y)+2y=-4$ which gives $y=3$, thus $x=7-9=-2$. The solution to the system is $(-2, 3)$