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Elimination Method of Finding Solution of a Pair of Linear Equations

The number of...

Question

The number of solutions for $2 x + 3 y = 10$ and $4 x + 6 y = 25$ are

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Solution

$2 x + 3 y = 10 . . . (1)$

$4 x + 6 y = 25 . . . (2)$

$(1) \times 2 \Rightarrow 4 x + 6 y = 20$

Subtracting the last two equations,

we get $0 = 5$ which is not possible.

Hence, there are no solutions for this system of equations.

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