Question 1171036
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            Let me present you simple and short solution, expressed in clear human language.



<pre>
Your starting equations are

    x + 3y = -13       (1)

    2x = 3y + 10       (2)


Keep the first equation as is.
In the second equation, move the term 3y from the right side to the left side, changing its sign.  You will get

     x + 3y = -13      (3)

    2x - 3y =  10      (4)


    +-----------------------------------------------------------+
    |   Now the system of equations is in its standard form,    |
    |   and we can apply the Elimination method.                |
    +-----------------------------------------------------------+


For it, add equations (3) and (4).  The terms "3y" and "-3y" will cancel each other, and you will get the final equation

    3x       = -3

for one single unknown x.  (It is how the elimination method works).


From this last equation,  x = -3/3 = -1.


Now substitute the found value x= -1 into either of original equations to get y.


I will substitute it into equation (1)

    -1 + 3y = -13


which gives

         3y = -13 + 1 = -12,

and then  y = -12/3 = -4.


The problem is just solved.  The  <U>ANSWER</U>  is  x= -1,  y= -4.


You may check the answer by substituting the found values into the original equations.


    - Did I say   ". . . you may ?"  - - -  No, I mean  " you MUST ".


I leave this check to you.
</pre>

Solved, answered, and explained.