SOLUTION: How do i solve the system by the substitution method? x+2 y+12 /2 = /4 x/3=2y+4 /6

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Question 112170: How do i solve the system by the substitution method?
x+2 y+12
/2 = /4
x/3=2y+4
/6
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%2F%282%29=%28+y%2B12%29%2F4
x%2F3=%282y%2B4%29%2F6
===================
First solve one of the equations for a variable.Let's solve equation #2 for x;
x%2F3=%282y%2B4%29%2F6
x=(2y+4)(3)/6}}}
cancel;
x%2F3=%282y%2B4%29cross%283%29%2Fcross%286%29
x=2y%2B4%2F2
---------------------
Now substitute that into one of the equations;
Lets replace x in the first equation with 2y+4;
%28%282y%2B4%29%2F2%2B2%29%2F2=%28y%2B12%29%2F4
%28%282y%2B4%29%2F2%29%2B2=%28%28y%2B12%29%2Fcross%284%29%29cross%282%29
%28%282y%2B4%29%2F2%2B2%29=%28y%2B12%29%2F2
%28%282y%2B4%29%2F2%29%2B%284%2F2%29=%28y%2B12%29%2F2
2y%2B4%2B4=%28%28y%2B12%29%2Fcross%282%29%29cross%282%29
2y+8=y+12
2y-y=12-8
y=4
-----------
Now replace y in either equation with 4;
%28x%2B2%29%2F2=%284%2B12%29%2F4
x%2B2=%28%2816%29%2F4%29%282%29
x%2B2=16%2F2
x+2=8
x=6
So your answers are;
x=6, y=4
:)