Graphically, the following pair of linear equations represent two lines which are

6𝑥 − 3𝑦 + 10 = 0

2𝑥 − 𝑦 + 9 = 0

The given equations are

6𝑥 − 3𝑦 + 10 = 0

2𝑥 − 𝑦 + 9 = 0

Dividing both sides of eq(1) by 3, we get

2x - y + 10/3 =0

Table for above equation

table for equation 2x - y + 9 = 0

So, the graph of these equations is:

The graph clearly shows that the two lines are parallel to each other. Hence, the correct option is (d) parallel.