Question 1125259
1. {{{-2x + 3y = 25}}}
   {{{-2x + 6y = 58}}}


*[invoke solving_linear_system_by_elimination -2, 3,25, -2, 6,58]



2. {{{8x + 13y = 179}}}
   {{{2x - 13y = -69}}}


*[invoke solving_linear_system_by_elimination 8, 13,175, 2, -13,-69]



3. {{{2x + 7y = -7}}}
   {{{5x + 7y = 14}}}

*[invoke solving_linear_system_by_elimination 2, 7, -7, 5, 7, 14]


4. {{{6x + 3y = 0}}}
  {{{-3x + 3y = 9}}}


*[invoke solving_linear_system_by_elimination 6, 3, 0, -3, 3, 9]-> for some reason this doesn't work

so, 

{{{6x + 3y = 0}}}
{{{-3x + 3y = 9}}}-> both sides multiply by {{{2}}}
---------------------
{{{6x + 3y = 0}}}
{{{-6x + 6y = 18}}}
-----------------------add both equations

{{{6x + 3y +(-6x + 6y)= 0+18}}}

{{{cross(6x) + 3y -cross(6x) + 6y= 0+18}}}

{{{3y + 6y=18}}}

{{{9y=18}}}

{{{highlight(y=2)}}}

go to {{{6x + 3y = 0}}}, substitute {{{2}}} or {{{y}}}

{{{6x + 3*2 = 0}}}

{{{6x + 6 = 0}}}

{{{6x  = -6}}}

{{{highlight(x= -1)}}}


so, intersection point is at:({{{highlight( -1)}}},{{{highlight(2)}}} )



{{{drawing( 600, 600, -10, 10, -10, 10,
circle(-1,2,.12), locate(-1,2,p(-1,2)),
 graph( 600, 600, -10, 10, -10, 10, -2x,x+3)) }}}



5. {{{3x - 8y = 32}}}
   {{{-x + 8y = -16}}}


*[invoke solving_linear_system_by_elimination 3, -8, 32, -1, 8,-16]



6.  {{{5x + 7y = -1}}}
    {{{4x - 2y = 22}}}


*[invoke solving_linear_system_by_elimination 5, 7, -1, 4, -2,22]