Answer:
Option is d) Coincident lines.
Step-by-step explanation:
Given:
x = 2 - y and
3x + 3y = 6
Solution:
Let we rewrite the equations as
x + y = 2 ...................................Equation ( 1 )
3x + 3y = 6 ....................................Equation ( 2 )
Compare the above Two Equations with the following
a₁x + b₁y = c₁ and
a₂x + b₂y = c₂
We get
a₁ = 1 ; b₁ = 1 ; c₁ = 2 and
a₂ = 3 ; b₂ = 3 ; c₂ = 6
Now we will check

Now we get

Which is the condition for a COINCIDENT LINES
COINCIDENT LINES have Infinite solutions for different x and different y
AC is common between triangle ABC and triangle CDA...
Angle ABC=angle CDA ( opposite angles in parallelogram are equal)
So both triangles are congruent ( 1 common line and 2 equal angles)