SOLUTION: solve the system 3x-4y=-3 6x+2z=-7/2 2y-4z=4 i am stuck on all especially the fraction

Algebra ->  Equations -> SOLUTION: solve the system 3x-4y=-3 6x+2z=-7/2 2y-4z=4 i am stuck on all especially the fraction      Log On


   

Question 45914: solve the system
3x-4y=-3
6x+2z=-7/2
2y-4z=4
i am stuck on all especially the fraction
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Modify The Fraction:
6x+%2B+2z+=+-7%2F2
12x+%2B+4z+=+-7
Exchange The Equation:
12x+%2B+4z+=+-7
z+=+-3x+-+7%2F4
Plug:
2y+-+4z+=+4
2y+-+4%28-3x+-+7%2F4%29+=+4
2y+%2B+12x+%2B+7+=+4
y+=+-3%2F2+-+6x
Plug:
3x+-+4y+=+-3
3x+-+4%28-3%2F2+-+6x%29+=+-3
3x+%2B+6+%2B+24x+=+-3
27x+=+-9
x+=+-1%2F3
Plug:
12x+%2B+4z+=+-7
12%28-1%2F3%29+%2B+4z+=+-7
-4+%2B+4z+=+-7
4z+=+-3
z+=+-3%2F4
Plug:
2y+-+4z+=+4
2y+-+4%28-3%2F4%29+=+4
2y+%2B+3+=+4
2y+=+1
y+=+1%2F2
(-1/3,1/2,-3/4)
Check:
3x+-+4y+=+-3
3%28-1%2F3%29+-+4%281%2F2%29+=+-3
-1+-+2+=+-3 Correct
6x+%2B+2z+=+-7%2F2
6%28-1%2F3%29+%2B+2%28-3%2F4%29+=+-7%2F2
-4%2F2+-+3%2F2+=+-7%2F2 Correct
2y+-+4z+=+4
2%281%2F2%29+-+4%28-3%2F4%29+=+4
1+%2B+3+=+4 Correct