Question 454258
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Linear-systems/454258: solve using substitution method
x - 5y = 17
-5x - 6y = 8
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        The way how @mananth solves the problem in his post is absolutely incorrect.

        He makes tons of incorrect calculations and invites visitors follow his wrong way,

        which only can lead you to the firm score of '2'.



<pre>
In this case, you are lucky, because you can easy express 'x' from the first equation

    x = 5y + 17.


Now substitute it into the second equation, replacing 'x' there

    -5(5y+17) - 6y = 8.


Simplify and find 'y'

    -25y - 85 - 6y = 8,

    -25y - 6y = 8 + 85

    -31y = 93,

       y = {{{93/(-31)}}} = -3.


Now calculate 'x'  from that expression which you got above from the first equation

    x = 5y + 17 = 5*(-3)+17 = -15 + 17 = 2.


<U>ANSWER</U>.  x = 2, y = -3.
</pre>

Solved correctly.


Ignore the post by @mananth and never even try to solve equations in the way he does.