Question

Find whether the following pair of linear equations is consistent or inconsistent:

x + 2y = 4, 3x + 6y = 12
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Answer 1

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Answer 2

Step-by-step explanation:

x + 2y = 4

3x + 6y = 12

A1/A2 = 1/3

B1/B2 = 2/6 = 1/3

c1/c2 = 4/12 = 1/3

as we can see a1/A2 = B1/B2 = c1/c2

hence the pair of equations are dependent and consistent