SOLUTION: Solve the following system by the addition method. 1/2x-1/3y= -4 -1/12x+1/10y= 2 x= y=

Algebra ->  Test -> SOLUTION: Solve the following system by the addition method. 1/2x-1/3y= -4 -1/12x+1/10y= 2 x= y=      Log On


   

Question 357903: Solve the following system by the addition method.
1/2x-1/3y= -4
-1/12x+1/10y= 2
x=
y=
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.%281%2F2%29x-%281%2F3%29y=+-4
2.-%281%2F12%29x%2B%281%2F10%29y=+2
Multiply eq. 1 by (1%2F6) and add to eq. 2 to eliminate x
%281%2F12%29x-%281%2F18%29y-%281%2F12%29x%2B%281%2F10%29y=-%282%2F3%29%2B2
-%281%2F18%29y%2B%281%2F10%29y=-%282%2F3%29%2B6%2F3
-%2810%2F180%29y%2B%2818%2F180%29y=4%2F3
%288%2F180%29y=%284%2F3%29
y=%284%2F3%29%28180%2F8%29
highlight%28y=30%29
Then use either equation to solve for x.
%281%2F2%29x-%281%2F3%29%2830%29=-4
%281%2F2%29x-10=-4
%281%2F2%29x=6
highlight%28x=12%29