Which of the following pairs of linear equations are consistent/inconsistent?If consistent,obtain the solution graphically:
Solve (i) and (iii)
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Answer:
i) consistent ( with infinite solutions )
ii) inconsistent
iii) consistent( with one solution)
iv) inconsistent
Step-by-step explanation:
I) Here,
a1/a2 =b1/b2 = c1/c2
Therefore the lines are coincident, and they will have infinite solutions.
ii) Here,
a1/a2 =b1/b2 ≠ c1/c2
Therefore the lines are parallel, and they will have no solution.
iii) Here,
a1/a2 ≠ b1/b2
Therefore the lines are intersecting , and they will have only one solution.
iv) iii) Here,
a1/a2 = b1/b2 ≠ c1/c2
Therefore the lines are parallel , and they will have no solution.
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