Mathematics
8 Online
OpenStudy (anonymous):
Solve the system of linear equations below. Enter your solution as an ordered pair (x,y). Do not include spaces in your answer. 2x+2y =2 x - y =5
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OpenStudy (rock_mit182):
\[(1) 2x+2y =2\]
\[(2) x-y =5\]
OpenStudy (rock_mit182):
now we're going to solve this by reduction method
OpenStudy (rock_mit182):
multiply the equation (2) by 2 and then add (1) and (2)
OpenStudy (rock_mit182):
to get rid off the y
OpenStudy (rock_mit182):
@Gusanocx
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OpenStudy (anonymous):
Its kinda confusing I just learned this but I kinda forget the steps in this.
OpenStudy (rock_mit182):
show me some work i will help you out
OpenStudy (rock_mit182):
first of all, follow the step that i told you the other part is so easy
OpenStudy (anonymous):
So I multiply the equation (2) by that is x-y=5 so is it x*y then you said I add both equations.
OpenStudy (anonymous):
^2
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OpenStudy (rock_mit182):
2 times the eqution (2)
OpenStudy (rock_mit182):
so we left with :\[2x-2y=10\]
OpenStudy (rock_mit182):
that makes sense for you ?
OpenStudy (anonymous):
2(2+2y) + y then you said I'm left with 2x-2y=10
OpenStudy (anonymous):
or in the parentheses is it a -
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OpenStudy (anonymous):
(3,-2)
OpenStudy (rock_mit182):
yeah now add the equation (1) with (2)
OpenStudy (rock_mit182):
then solve for x
OpenStudy (rock_mit182):
and finally plug and chuff that value, in the equation (1) or (2) to find the value of Y
OpenStudy (anonymous):
thank you (:
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OpenStudy (rock_mit182):
you're welcome
OpenStudy (rock_mit182):
;)