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Consistency of Linear System of Equations

Solve the equ...

Question

Solve the equation: $| - 2 x + 5 | = 2 x - 5$

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Solution

$| - 2 x + 5 | = 2 x - 5$
$\pm (- 2 x + 5) = 2 x - 5$
Taking $+ i v e$ sign
$- 2 x + 5 = 2 x - 5$
$x = \frac{5}{2}$
There is no meaning for taking $- i v e$ sign as no result will come out.

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Consistency of Linear System of Equations

Standard XII Mathematics

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