SOLUTION: Solve the following system by elimination. 1/3x + 1/2y = -3 1/3x + 3y = -8 the solution is ____ should be an ordered pair

Algebra ->  Equations -> SOLUTION: Solve the following system by elimination. 1/3x + 1/2y = -3 1/3x + 3y = -8 the solution is ____ should be an ordered pair      Log On


   

Question 103320: Solve the following system by elimination.
1/3x + 1/2y = -3
1/3x + 3y = -8
the solution is ____ should be an ordered pair
Found 2 solutions by stanbon, HyperBrain:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/3x + 1/2y = -3
1/3x + 3y = -8
----------------------------
Subtract the 1st equation from the 2nd to get:
(5/2)y = -5
y = -2
------------
Substitute into (1/3)x + (1/2)y = -3 to solve for "x":
(1/3)x + (1/2)(-2) = -3
(1/3)x -1 = -3
(1/3)x = -2
x = -6
----------------
Solution: x=-2,y=-6
=======================================
Cheers,
Stan H.

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let a=x%2F3
b=y%2F2
Then,
x%2F3%2By%2F2=-3------------------------a%2Bb=-3
x%2F3%2B3%2Ay=-8-----------------------a%2B6%2Ab=-8
____________________________________________________
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-5%2Ab=5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~b=-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a%2B%28-1%29=-3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a=-2
-2=x%2F3
x=-6
-1=y%2F2
y=-2
Therefore, the solution set is (x,y)=(-6,-2)