Question

Check wheter equations are consistent or incosistent , if conistent them find the value of x and y (i) x-y= 8 , 3x-3y= 16 ii) 2 x + y-6=0 , 4 x -2y - 4 = 0 (iii) 2x -2 y -2 = 0, 4 x -4 y - 5= 0 ​

Answer 1

$1)) \frac{1}{3} = \frac{1}{3} ≠ \frac{1}{2} \\ \\ the \: system \: is \: inconsistent$

$(ii) \: \frac{1}{2} ≠ \: \frac{ - 1}{2} ≠ \: \frac{6}{4} \\ \\ the \: system \: is \: consistent$

$(iii) \: \frac{2}{4} = \frac{2}{4} ≠ \frac{2}{5} \\ \\ the \: system \: is \: inconsistent$

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