Question 281271
{{{2x+3y=-4}}} multiply this equation by -3
{{{-6x -9y = 12}}} now add the first equation to this one
{{{ 6x -4y= 11}}}
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{{{ -13y = 23}}}
{{{y = -23/13}}}
Use this value for y in one the two original equations and solve for x
the resulting x,y pair is the solution

Here is a URL of the plot --> http://www.wolframalpha.com/input/?i=6x-4y%3D11+AND+2x%2B3y%3D-4