The abcissa & ordinate of a point passing through 7x-4y + 6 = 0 , are equal . Find the point.

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Solution

Given, The abcissa & ordinate of a point passing through 7x-4y + 6 = 0 , are equal .
Hence, x = y

$\Rightarrow$ 7 x – 4 x + 6 = 0 (since y = x)
$\Rightarrow$ 3x = -6
$\Rightarrow$ x = -2
$∵$ x = y
$\Rightarrow$ y = -2

Hence, the point is (-2,-2)

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