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Consistency of Linear System of Equations

Solve the fol...

Question

Solve the following systems of equations:
$x + 2 y = \frac{3}{2}$
$2 x + y = \frac{3}{2}$

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Solution

Equation (1)×2 : $2 x + 4 y = 3$
Equation (2) : $2 x + y = \frac{3}{2}$

Subtract two equations ;

$\Rightarrow y = \frac{1}{2}$

Substitute y in equation 2 ;

$\Rightarrow x = \frac{1}{2}$

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Consistency of Linear System of Equations

Standard XII Mathematics

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