Question

विलोपन विधि से समीकरण हल करे समीकरण 9x+3y+12=0
18x+6y+24=0

Answer 1

Answer:

$\huge{\boxed{\boxed{\underline{\sf{INFINETLY\:MANY\:SOLUTIONS}}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$= )9x + 3y + 12 = 0 \\ = ) 3(3x + y + 4) = 0 \\ = )3x + y + 4 = 0 \\ = )3x + y = - 4 \\ = ) 3x = - 4 - y \\ = ) x = \frac{ - 4 - y}{3} - - - - - (1) \\ = )18x + 6y + 24 = 0 \\ = )6(3x + y + 4) = 0 \\ = )3x + y + 4 = 0 \\ putting \: value \: of \: x \\ = ) 3 \times \frac{ - 4 - y}{3} + y = - 4 \\ = ) - 4 - y + y = - 4 \\ = )0 \\ \frac{a1}{a2} = \frac{3}{3} = \frac{1}{1} - - - - -( 2) \\ \frac{b1}{b2} = \frac{1}{1} - - - - - (3) \\ \frac{c1}{c2} = \frac{4}{4} = \frac{1}{1} - - - - - (4) \\ from \: (2)(3) \: and \: (4) \: we \: conclude \: that \\ \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2} \\ > > infinetly \: many \: solutions \\ > > coincident \: lines$

$\huge{\boxed{\boxed{\underline{\sf{INFINETLY\:MANY\:SOLUTIONS}}}}}$

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