Question 1155559
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            I will do it using substitution method,  but I will use a  TRICK  to avoid using fractions on the way.


            Watch my steps carefully.



<pre>
Express 3y from the first equation  3y = 5x - 18  and then substitute this expression into the second equation, replacing 3y there


    -3x - (5x-18) = -12.


Now simplify and find x


    - 3x - 5x + 18 = -12

    - 8x           = - 12 - 18

     -8x           = - 30

       x = {{{(-30)/(-8)}}} = {{{30/8}}} = 3.75.


Now you substitute this found value of x into either of the two original equations and find y.
</pre>

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Learn this trick from my post.


There is a lesson in this site, demonstrating this trick in work

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Useful-tricks-when-solving-systems-of-2-eqns-in-2-unknowns-by-the-Subst-method.lesson>Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method</A>