SOLUTION: Please help me solver this, I have a really hard time understanding it. My teacher calls it elimination. x-5y=5 + 2x+10y=6. Thank you.

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me solver this, I have a really hard time understanding it. My teacher calls it elimination. x-5y=5 + 2x+10y=6. Thank you.      Log On


   



Question 436053: Please help me solver this, I have a really hard time understanding it. My teacher calls it elimination. x-5y=5 + 2x+10y=6. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like you have 2 equations. A general rule about
equations is:
If you want to find the values of the unknowns,
the number of equations has to equal the number
of unknowns.
You have 2 equations and 2 unknowns, so you
know you can solve for x and y. You just have to
decide what method to use.
Elimination means that you get the equations into a
form where you can add or subtract them and eliminate
one of the unknowns.
(1) +x+-+5y+=+5
(2) 2x+%2B+10y+=+6
The easiest path here is to divide both sides of (2) by 2
(2) +x+%2B+5y+=+3
Now you can just add (1) and (2)
(1) +x+-+5y+=+5
(2) +x+%2B+5y+=+3
+2x+=+8+
+x+=+4+
Now put this result back into either (1) or (2)
(2) +x+%2B+5y+=+3
(2) +4+%2B+5y+=+3
Subtract 4 from both sides
(2) +5y+=+-1+
+y+=+-1%2F5+
---------------
Just plug the answers back into (1) and (2) to check
(1) +x+-+5y+=+5
(1) +4+-+5%2A%28-1%2F5%29+=+5
+4+%2B+1+=+5+
OK