Question 1108482
Solve for y in the first equation, then plug this expression into the second equation and solve for x:

1) Add x term to both sides: {{{(3/2)y = 11 + (1/4)x}}}
2) Divide both sides by 3/2 (a.k.a multiply by reciprocal, 2/3) to isolate y: {{{y = (22/3) + (1/6)*x}}}
3) Now substitute this expression for y in the second equation: 
{{{(-1/8)*x + (1/3)*((22/3) + (1/6)*x) = 3}}}
4) Simplify left-hand side by distributing 1/3 in preparation of isolating x:
{{{(-1/8)*x + (22/9) + (1/18)*x = 3}}}
5) Combine x terms by using common denominator of 72:
{{{(-5/72)*x + (22/9) = 3}}}
6) Subtract 22/9 from both sides by using common denominator of 9:
{{{(-5/72)*x = (5/9)}}}
7) Solve for x by multiplying both sides by -72/5 (a.k.a dividing by -5/72):
{{{x = -8}}}

We now know x and can plug -8 into either of the original two equations and solve for y. I will use the second equation:
1) {{{(-1/8)*-8 + (1/3)*y = 3}}}
2) {{{1 + (1/3)*y = 3}}}
3) {{{(1/3)*y = 2}}}
4) {{{y = 6}}}

When we plug x = -8 and y = 6 back into both original equations, we get true equalities, verifying our answer.

Finally, writing as ordered pair, (x,y) yields (-8, 6) as our final answer.

Just as a note, unless you had to solve this by substitution, I would recommend using the elimination method as it would be much quicker.