Solve
this system of equations
(and check): 

3y
 2x = 11
y + 2x = 9 
1. Solve one of the
equations for either "x =" or "y =".
This example solves the second equation for "y
=". 

3y  2x = 11
y = 9  2x 
2. Replace
the "y" value in the first equation by what
"y" now equals. Grab
the "y" value and plug it into the other
equation. 

3(9
 2x)  2x
= 11 
3. Solve
this new equation for "x". 

(27  6x)  2x = 11
27  6x  2x = 11
27  8x = 11
8x = 16
x = 2 
4.
Place this new "x" value into either of the
ORIGINAL equations in order to solve for
"y". Pick
the easier one to work with! 

y + 2x = 9
or
y = 9  2x
y = 9  2(2)
y = 9  4
y = 5 
5. Check:
substitute x = 2 and y = 5 into BOTH ORIGINAL
equations. If these answers are correct, BOTH
equations will be TRUE! 

3y  2x = 11
3(5)
 2(2) = 11
15  4 = 11
11 = 11
(check!)
y + 2x = 9
5
+ 2(2)
= 9
5 + 4 = 9
9 = 9
(check!) 