Question 1094079
<pre>
Multiply the first equation through by -3 
and the second equation through by +2, so 
the x's will have equal coefficients with
opposite signs:

{{{matrix(1,2,

matrix(2,1,-3,""+2),

system(matrix(2,7,

2x,""+"",3y,"",""="","",7,
3x,""-"",5y,"",""="","",1)))}}}

That will give 

{{{system(matrix(2,7,

-6x,""-"",9y,"",""="","",-21,
""+6x,""-"",10y,"",""="","",2)))}}}

Add the two equations term by term:

{{{matrix(1,5,

-19y,"",""="","",-19)}}}

{{{y}}}{{{""=""}}}{{{1}}}

Substitute back in either of the original equations:

{{{2x+3y}}}{{{""=""}}}{{{7}}}


{{{2x+3(1)}}}{{{""=""}}}{{{7}}}

{{{2x+3}}}{{{""=""}}}{{{7}}}

{{{2x}}}{{{""=""}}}{{{4}}}

{{{x}}}{{{""=""}}}{{{2}}}

EDWIN</PRE>