Question 1181614
.
What is the solution to the system?
-x-2y=2
2x+3y=-3
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        The solution in the post by @mananth is  INCORRECT.

        Easy check shows that his answer  (-16,7)  does not satisfy first equation.

        I came to bring a correct solution.



<pre>
Your starting equations are 

    -x - 2y =  2    (1)

    2x + 3y = -3    (2)


Multiply equation (1) by 2 and add with the second equation.  You will get

         -y =  1,  y = -1.


Then from equation (1),  

    x = -2y - 2 = -2*(-1) - 2 = 2 - 2 = 0.


<U>ANSWER</U>.  There is a unique solution  x = 0,  y = -1.


<U>CHECK</U>.   You may check it on your own, that my answer satisfies both given equations.
</pre>

Solved correctly.