Question

Graphically, the pair of equations 3x + 2y = 16,5x + y = 18 represents two lines which
are
1
A) Coincident
B) Parallel
C) intersecting at exactly two points
D) intersecting at exactly two points​

Answer 1

Given: Two equations 3x + 2y = 16,5x + y = 18

To find: What do they represent?

Solution:

• Now for coincident lines, we have: a1/a2 = b1/b2 = c1/c2

• So putting values in it, we get:

        3/5 ≠ 2/1 ≠ 16/18

        So this condition is false, lines are not coincident.

• For parallel lines, we have: a1/a2 = b1/b2 ≠ c1/c2

• So putting values in it, we get:

        3/5 ≠ 2/1 ≠ 16/18

        So this condition is false, lines are not parallel.

• For intersecting lines, we have: a1/a2 ≠ b1/b2
• So putting values in it, we get:

        3/5 ≠ 2/1

        So this condition satisfies, so lines are intersecting.

Answer:

      So the given lines are intersecting lines.