SOLUTION: how do you substitute: 3u + 8 = 4v 24v = 6 - 3u

Algebra ->  College  -> Linear Algebra -> SOLUTION: how do you substitute: 3u + 8 = 4v 24v = 6 - 3u      Log On


   



Question 674383: how do you substitute:
3u + 8 = 4v
24v = 6 - 3u

Found 2 solutions by ReadingBoosters, josmiceli:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
If 4v = 8 + 3u
6(4v = 8 + 3u) is
24v = 48 + 18u
...
Substitute 48+18u into the second equation
48 + 18u = 6-3u
18u + 3u = 6 - 48
21u = -42
highlight_green%28u+=+-2%29
...
3(-2) + 8 = 4v
-6 + 8 = 4v
2 = 4v
highlight_green%28v=1%2F2%29
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +3u+%2B+8+=+4v+
(2) +24v+=+6+-+3u+
------------------
(2) +24v+-+6+=+-3u+
(2) +-24v+%2B+6+=+3u+
Substitute +3u+ in (2) in place
of +3u+ in (1)
(1) +-24v+%2B+6+%2B+8+=+4v+
(1) +28v+=+14+
(1) +v+=+1%2F2+
Plug this back into (1)
(1) +3u+%2B+8+=+4%2A%281%2F2%29+
(1) +3u+=+2+-+8+
(1) +3u+=+-6+
(1) +u+=+-2+