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2 years ago

1. Is the following pair of linear equations consistent? Justify your answer.

Mathematics

2 answers:

qaws [65]2 years ago

5 0

<h3>Answer:</h3>

<u>Given equation</u>:– 2ax + by = a, 4ax + 2by - 2a = 0

a1 = 2a; b1 = b; c1 = - a & a2 = 4a; b2 = 2b; c2 = - 2a.

<u>For consistence, a1/a2 = b1/b2 = c1/c2 must be equal</u>

2a/4a = b/2b = -a/-2a
1/2 = 1/2 = 1/2

<u>So, The given equation is consistence</u>.

atroni [7]2 years ago

3 0

Yes.

<h3>Justification:</h3>

Here,

a1/a2 = 2a/4a = 1/2,
b1/b2 = b/2b = 1/2,
c1/c2 = - a/- 2a = 1/2.

∵ a1/a2 = b1/b2 = c1/c2

∴ <u>The given system of equations is consistent</u>.

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