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Sati [7]
1 year ago
14

12x+10y=2

Mathematics
1 answer:
iris [78.8K]1 year ago
8 0

Answer:

Elimination would be a better method for solving the system.

<h3>Given equation </h3>
  • \sf12x+10y=2
  • \sf-x+4y= -5
<h3>Solution :-</h3>

\Rrightarrow \sf12x+10y=2

\Rrightarrow \sf6x+5y=1.......(i)

\sf\Rrightarrow-x+4y= -5 ............(ii)

\large \sf \red{ \blue{[ (ii)×6]}}

\sf\Rrightarrow-6x+24y= -30 ............(iii)

\large \sf \red{(i) +  \blue{ (iii)}}

\Rrightarrow \small\sf6x+5y=1+(-6x+24y= -30)

\Rrightarrow \sf29y =  - 29 \\

\Rrightarrow  \blue{\sf \: y =  - 1}

putting the value in equation (i)

\Rrightarrow \sf6x+5 \times  - 1=1

\Rrightarrow \sf6x - 5=1

\Rrightarrow \sf6x = 6

\Rrightarrow  \red{\sf \: x = 1}

\overline{\underline{\rule{209pt}{2pt}}}

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