Question 457528
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Can someone help me solve the solutin of the system using the elemination method?
5x + 2y = -11
7x - 3y = 13
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        The solution in the post by @mananth is  FATALLLY  WRONG  due to numerous arithmetic errors.

        I came to bring a correct solution.



<pre>
Your starting equations are 

    5x + 2y = -11     (1)
    7x - 3y =  13     (2)


Multiply eq(1) by 3; multiply eq(2) by 2

    15x + 6y = -33    (3)
    14x - 6y =  26    (4)


Add equation (4) from equation (3)

    15x - 14x = -33 + 26

       29x    =    -7

         x    =    -7/29


Now find 'y' from equation (1) by substituting the found value x = -7/29 there

    {{{5*(-7/29)}}} + 2y = -11,

     2y = -11 + {{{35/29}}} = {{{(-11*29+35)/29}}} = {{{-284/29}}},

      y = {{{-142/29}}}.


<U>ANSWER</U>.  x = {{{-7/29}}},  y = {{{-142/29}}}.
</pre>

Solved correctly.