Question 1042225
<pre><b>
Neither the good lady nor Jorel told you what the best
thing to do when you are solving a system of equations 
by the addition (or elimination) method and the answer 
to the first unknown or variable comes out to be a very 
difficult fraction such as x=29/46.  In such cases the 
best plan is NOT to substitute the bad fraction into one 
of the original equations. The best plan is instead to
start over and eliminate the variable x to find y.

They both showed you how to get x = 29/46.  But here is
what you should have done to get y:

Begin again and this time eliminate x

{{{system(matrix(2,5, 

7x,""+"",3y,""="",5,
6x,""-"",4y,""="",3))}}}

Multiply the first equation by -6 and the second equation
through by 7, (Or you could multiply the first equation 
by 6 and the second equation through by -7):

{{{system(matrix(2,5, 
-42x,""-"",18y,""="",-30,
42x,""-"",28y,""="",21))}}}

Adding the equations term by term gives the equation:

{{{-46y}}}{{{""=""}}}{{{-9}}}

{{{y}}}{{{""=""}}}{{{9/46}}}

That's easier than substituting 29/46 for x in one
of the original equations and solving for y.

Edwin</pre></b>