Mathematics
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OpenStudy (anonymous):
Solve the following system of equations.
2x – 3y + z = –1
2x – 2y – 2z = –8
x + 5y – 3z = 2
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OpenStudy (anonymous):
ok lets do this
OpenStudy (anonymous):
first of all we want to eliminate a value
OpenStudy (anonymous):
so you choose 2 of the equations and eliminate z
OpenStudy (anonymous):
(2x-3y+z)2
2x-2y-2z
OpenStudy (anonymous):
4x-6y+2z
2x-2y-2z
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OpenStudy (anonymous):
Okay, and then what do you do?
OpenStudy (anonymous):
sec i gorgot the consonate
OpenStudy (anonymous):
4x-6y+2x=-2
2x-2y-2z= -8
OpenStudy (anonymous):
6x-8y=-10
OpenStudy (anonymous):
2x – 3y + z = –1
2x – 2y – 2z = –8
x + 5y – 3z = 2
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OpenStudy (anonymous):
so now you take the equation we didnt use and eliminate z
OpenStudy (anonymous):
x+5y-3z = 2
(2x-3y+z=-1)3
OpenStudy (anonymous):
x+5y-3z=2
6x-9y+3z=-3
OpenStudy (anonymous):
7x-4y=-3
OpenStudy (anonymous):
7x-4y=-3
6x-8y=-10
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OpenStudy (anonymous):
any questions so far?
OpenStudy (anonymous):
those are the 2 values we get after eliminating the z from equations
OpenStudy (anonymous):
so we can solve for x and y now
OpenStudy (anonymous):
(7x-4y=-3)2
6x-8y=-10
OpenStudy (anonymous):
-2 oops
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OpenStudy (anonymous):
thank you soo much! i think i understand this a lot better now
OpenStudy (anonymous):
-14x+8y=6
6x-8y=-10
OpenStudy (anonymous):
-8x=-16
OpenStudy (anonymous):
x=2
OpenStudy (anonymous):
(7x-4y=-3)6
(6x-8y=-10)-7
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OpenStudy (anonymous):
42x-24y=-18
-42x+56y=-70
OpenStudy (anonymous):
opps that +70
OpenStudy (anonymous):
32y=52
OpenStudy (anonymous):
y=52/32
OpenStudy (anonymous):
y=13/8
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OpenStudy (anonymous):
so lets check our y value
OpenStudy (anonymous):
6x-8y=-10
OpenStudy (anonymous):
plug in x
OpenStudy (anonymous):
6(2)-8y=-10