-4x-2y=20
2x+y=19
this is a systems using elimination
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OpenStudy (shadowlegendx):
Do you know how to do elimination?
OpenStudy (mgraham3641):
kind of we have been learning it for only like 2 days
OpenStudy (shadowlegendx):
Have you guys gone over one solution, infinite solutions, and no solutions?
OpenStudy (mgraham3641):
yes
OpenStudy (shadowlegendx):
Good, I'll show you why I asked that
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OpenStudy (shadowlegendx):
First step to elimination, is cancelling out one variable. The first thing I see is -4x and 2x, which is perfect. Our negative is already lined up.
\[-4x - 2y = 20\]
\[2x + y = 19\]
Multiply the second equation by 2
\[-4x - 2y = 20\]
\[4x + 2y = 38\]
Add the two equations
Both x and y cancel
\[0 = 58\]
OpenStudy (mgraham3641):
give me a little bit to figure this out
OpenStudy (shadowlegendx):
What part are you confused on?
OpenStudy (mgraham3641):
im not really confused its just a lot of numbers
OpenStudy (mgraham3641):
and we really never learned to multiply the equations ?
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OpenStudy (shadowlegendx):
Do you understand why we're allowed to multiply the equations?