SOLUTION: Can someone help me solve the solutin of the system using the elemination method? 5x + 2y = -11 7x - 3y = 13

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Question 457528: Can someone help me solve the solutin of the system using the elemination method?
5x + 2y = -11
7x - 3y = 13

Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2y=-11.............1
7x-3y=13 .............2

multiply (1)by -3
Multiply (2) by 2
-15x-6y= 33
14x-6y=26
Add the two equations
-x=59
plug value of x in (1)
5x+2y=-11
-295+2y= -11
2y=-11+295
2y=284
y=142

Answer by ikleyn(53541) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.


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%2A%28-7%2F29%29 + 2y = -11,

     2y = -11 + 35%2F29 = %28-11%2A29%2B35%29%2F29 = -284%2F29,

      y = -142%2F29.


ANSWER.  x = -7%2F29,  y = -142%2F29.

Solved correctly.