Question 1000186

I usually know how to do questions involving substitution but this one is really proving difficult 

x/3+y/2=-4
x-3y=6   

I tried substituting for the x but I'm not even sure where to go from there 
<pre>{{{x/3 + y/2 = - 4}}}
2x + 3y = - 24 -------- Multiplying by LCD, 6 ------- eq (i)
 x - 3y =    6 -------- eq (ii)
3x      = - 18
{{{x = (- 18)/3}}}, or {{{highlight_green(x = - 6)}}}
Now all you have to do is substitute - 6 for x in any of the 2 original equations to determine the value of y

You can solve eq (ii) for x to get: x = 6 + 3y, but after multiplying the 1st equation by 6, it's obvious
that y can immediately be eliminated to get the value of x