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SOLUTION: 6x -y =-8 2x + y =-16 im getting stuck the first step! try to solve by elimination method
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Question 585447
:
6x -y =-8
2x + y =-16
im getting stuck the first step!
try to solve by elimination method
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
put this solution on YOUR website!
Start with the given system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
Divide both sides by
to isolate
.
Reduce.
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Now go back to the first equation.
Plug in
.
Multiply.
Add
to both sides.
Combine like terms on the right side.
Divide both sides by
to isolate
.
Reduce.
So the solutions are
and
.
Which form the ordered pair
.
This means that the system is consistent and independent.
Notice when we graph the equations, we see that they intersect at
. So this visually verifies our answer.
Graph of
(red) and
(green)
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If you need more help, email me at
jim_thompson5910@hotmail.com
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http://www.freewebs.com/jimthompson5910/home.html
and making a donation. Thank you
Jim
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