SOLUTION: Hi, I'm having trouble with this problem: Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. (If

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hi, I'm having trouble with this problem: Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. (If      Log On


   

Question 863371: Hi, I'm having trouble with this problem:

Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. (If the system is dependent, enter DEPENDENT. If the system is inconsistent, enter INCONSISTENT.)
1/2x-2/3y=22
1/2x+1/4y=0
I got (76,24) as the final answer.
Thank you for your help!
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2x-2%2F3y=22
6%281%2F2%29x-6%282%2F3%29y=6%2822%29
1.3x-4y=132
.
.
4%281%2F2%29x%2B4%281%2F4%29y=0
2.2x%2By=0
From eq. 2,
y=-2x
Substitute into eq. 1,
3x-4%28-2x%29=132
3x%2B8x=132
11x=132
x=12
Then from eq. 2,
y=-2%2812%29
y=-24

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

1/2x-2/3y=22   y = .75x  -  33

1/2x+1/4y=0  Subtract from 1st EQ

(-11/12)y = 22   y =  -24  and x= 12    x%2F2+%2B+16+=+22