Exemplar problems XVI — task. Mathematics CBSE, Class 10.

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For the pair of equations

$\lambda x + 3y = -7$ ;

$2x + 6y = 14$ to have infinitely many solutions, the value of

$\lambda$ should be

$1$ . Is the statement true? Give reasons.

Answer:

The given statement is

False, because $\lambda \neq -1$
True, because $\lambda = 1, -1$

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