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The value of $c$ for which the pair of equations $cx - y = 2$ and $6x - 2y = 3$ will have infinitely many solutions is

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The line represented by $x=7$ is parallel to the $x$-axis. Justify whether the statement is true or not.

Solve the following pairs of equations:
$43x + 67y = -24$
$67x + 43y = 24$

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Find the value of $k$ under the given condition for the following pair of linear equations: $2x - 3y = 1$ and $kx + 5y = 7$,such that the system has a unique solution.

The ratio of the present ages of Rajan and Jay is $3:2$. After five years,the ratio of their ages will be $4:3$. Find the present ages of both.

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