Find out whether the pair of equations 4x + 3y = 6 and 12x + 9y = 15 is consistent or inconsistent?
2 points
Answers
Answered by
4
Step-by-step explanation:
they are inconsistent. .... because they are parallel lines.
Answered by
1
Answer:
Step-by-step explanation:
4x + 3y - 6 = 0
12x + 9y - 15 = 0
a1= 4, b1 =3, c1= -6
a2 = 12, b2 = 9, c2 = -15
a1/a2= 1/3; b1/b2=1/3; c1/c2=2/5
As a1/a2 = b1/b2 ≠ c1/c2
It represents parallel lines (No solution)
∴It is inconsistent (Only lines with solutions are consistent)
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