Answer
$$(3,0), \quad (0,2), \quad (-6, 6 ).$$
Work Step by Step
Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows:
$$
2(3) + 3y = 6 \Longrightarrow 3 y=0 \Longrightarrow y =0
,$$
$$
2(0) + 3y = 6 \Longrightarrow 3 y=6 \Longrightarrow y =2
,$$
$$
2(-6) + 3y = 6 \Longrightarrow 3 y=18 \Longrightarrow y =6
,$$
Hence, we have the pairs
$$(3,0), \quad (0,2), \quad (-6, 6 ).$$
