Question 107081
{{{x-4y=-32}}} ...........this one multiply by {{{2}}}
{{{2x+3y=9}}}

you will have:


{{{2x - 8y = -64}}} ...........subtract second one from the first equation
-
{{{2x+3y=9}}}

then, you will have:

{{{-8y - 3y = -64 - 9}}}.......both sides multiply by {{{-1}}}

{{{8y + 3y = 64 + 9}}}

{{{11y = 73}}}

{{{y = 73/11}}}

{{{y = 6.64}}}

now, find {{{x}}}; plug {{{y}}} in one of equations above.

{{{x - 4*6.64 = -32}}} .....move {{{-4*6.64}}} to the right

{{{x = - 32 + 4*6.64}}}

{{{x = -32 + 25.6}}}

{{{x = -6.4}}}

check:
{{{x - 4y = -32}}} ..........

{{{-6.4 - 4*6.64 = -32}}}
{{{-6.4 - 25.6 = -32}}}

{{{-32 = -32}}}