Question 1203013

given:

1.) {{{X + Y = 48}}}
2.) {{{X - Y = 16}}}
3). {{{X* Y = 512}}}
4). {{{X /Y = 2}}}


Question: 

{{{X }}}= ?
{{{Y}}} = ?

use first to equations and solve the system:

{{{X + Y = 48}}}
{{{X - Y = 16}}}
__________________ add both


{{{X + Y+X - Y  = 48+16}}}

{{{2X  = 64}}}

{{{X  = 32}}}

go to eq. 2

{{{X - Y = 16}}}......, substitute {{{X}}}

{{{32 - Y = 16}}}


{{{32 - 16= Y }}}

{{{ Y = 16}}}


check:

1.) {{{X + Y = 48}}}=>{{{32 + 16 = 48}}}=>true
2.) {{{X - Y = 16}}}=>{{{32 - 16 = 16}}}=>true
3). {{{X* Y = 512}}}=>{{{32* 16 = 512}}}=>true
4). {{{X /Y = 2}}}=>{{{32 /16 = 2}}}=>true