12x+10y=2 -x+4y= -5 Without actually solving, explain whether substitution or elimination would be a better method for solving the system.

Question

asked Mar 5, 2023 218k views

1 Answer

Shaon Shaonty · Answer 1 · 2023-03-10T02:30:21+0000

Answer:

Elimination would be a better method for solving the system.

$\Rrightarrow \sf12x+10y=2$

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

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

$\large \sf \red{ \blue{[ (ii)×6]}}$

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

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

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

$\Rrightarrow \sf29y = - 29 \\$

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

putting the value in equation (i)

$\Rrightarrow \sf6x+5 * - 1=1$

$\Rrightarrow \sf6x - 5=1$

$\Rrightarrow \sf6x = 6$

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

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