SOLUTION: solve using any appropriate method. Full work out please. 2.1x - 0.9y =15 -1.4x + 0.6y=10

Algebra ->  Linear-equations -> SOLUTION: solve using any appropriate method. Full work out please. 2.1x - 0.9y =15 -1.4x + 0.6y=10      Log On


   



Question 243032: solve using any appropriate method. Full work out please.
2.1x - 0.9y =15
-1.4x + 0.6y=10

Found 2 solutions by nyc_function, oberobic:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
I can send a reply to your math question using paint attachment, which is far easier to read and follow.
Write to: nycfunction@yahoo.com
Guido
P.S. Post one question at a time for a faster reply.

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
First, multiply everything by 10 to get rid of the decimals.
EQ. 1: 21x - 9y = 150
EQ. 2: -14x + 6y = 100
...
Divide EQ. 1 by 3: 7x - 3y = 50
Divide EQ. 2 by 2: -7x + 3y = 50
...
This is a disturbing pair of equations because they are just too similar.
Consider -7x + 3y = 50 can be written as -(7x - 3y) = 50.
Given 50 = 50 (a tautology), we now can say:
7x - 3y = -(7x - 3y), which seems a contradiction in terms.
...
Perhaps they're parallel, in which case there is no solution.
We can test this theory putting them in slope intercept form.
...
EQ 1.
7x - 3y = 50
-3y = -7x + 50
y+=%28-7%2F-3%29x+%2B+%2850%2F-3%29
which is simply...
y+=+%287%2F3%29x+-+50%2F3
...
EQ 2.
-7x + 3y = 50
3y = 7x + 50
y+=+%287%2F3%29x+%2B+50%2F3
...
So we have parallel lines, so there is no solution to the system of equations.