Question 416589
4x-4y=2

16x+8y=14

{{{2(4x-4y) =2* 2}}}

==> {{{ 8x -8y =4}}}

    {{{16x +8y=14}}}

Add these vertically...

==>  {{{ 24x  = 18 }}}

==>  {{{ 24x/24  = 18/24 }}}

==>  {{{ x  = 0.75 }}}

Now plug in the value, x = 0,75 in the first equation...


{{{4(0.75)-4y=2}}}


==>  {{{ 3 - 4y=2}}}

==>  {{{ 3 - 4y -3=2 -3}}}

==>  {{{-4y= -1 }}}

==>  {{{-4y/-4= -1/-4 }}}

==>  {{{ y= 0.25 }}}

x = 0.75
y= 0.25