Question

Graphically, the pair of equations 6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are ______.

Options

• Intersecting at exactly one point

• Intersecting at exactly two points

• Coincident

• Parallel

Answer 1

Graphically, the pair of equations 6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are parallel.

Explanation:

The given equations are,

6x – 3y + 10 = 0

Dividing by 3

⇒ 2x – y + `10/3` = 0  .......(i)

And 2x – y + 9 = 0  .......(ii)

Table for 2x – y + `10/3` = 0

x	0	`-5/3`
y	`10/3`	0

Table for 2x – y + 9 = 0

x	0	`-9/2`
y	9	0

Hence, the pair of equations represents two parallel lines.