Mathematics
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OpenStudy (anonymous):
True or false?
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OpenStudy (anonymous):
@freckles
OpenStudy (anonymous):
srry can't
OpenStudy (anonymous):
thats ok
OpenStudy (anonymous):
@Icedragon50
OpenStudy (anonymous):
:)
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jimthompson5910 (jim_thompson5910):
that matrix they give you means that z = 5 and y = 2
use those values to find x
OpenStudy (anonymous):
7? @jim_thompson5910
OpenStudy (anonymous):
i mean -2 @jim_thompson5910
jimthompson5910 (jim_thompson5910):
in case you're not sure how I got the values for y and z
jimthompson5910 (jim_thompson5910):
incorrect on both
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jimthompson5910 (jim_thompson5910):
x - 2y + z = -2
x - 2(2) + 5 = -2
x - 4 + 5 = -2
x + 1 = -2
x = ??
OpenStudy (anonymous):
oh, -3?
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
x = -3
y = 2
z = 5
jimthompson5910 (jim_thompson5910):
that is the possible solution; however, you need to check it in each equation to make sure it's a true solution
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OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
the method is correct but the values am not sure of them for both 2 and 3 row
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
it is False
it should be
1 -2 1 -2
0 1 0 6
0 0 1 3
OpenStudy (anonymous):
this is the elimination method
multiply 1 row by a number so you can eliminate x in the 2 row and the same for thr 3 row
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OpenStudy (anonymous):
(7,6,3)
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
x-2y+z = -2
7-2(6)+3 = -2 ... plug in (x,y,z) = (7,6,3)
7-12+3 = -2
-2 = -2 ... equation is true
jimthompson5910 (jim_thompson5910):
I checked the first equation and I'll let you check the other equations
jimthompson5910 (jim_thompson5910):
all 3 equations must be true when you plug in the possible solution of (x,y,z) = (7,6,3)
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OpenStudy (anonymous):
i checked them and there right
jimthompson5910 (jim_thompson5910):
yes all three are true when (x,y,z) = (7,6,3)
OpenStudy (anonymous):
so this problem is true then?
OpenStudy (anonymous):
if i got all of them right?
jimthompson5910 (jim_thompson5910):
no, as AJ01 said above, it's false because of that matrix change
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jimthompson5910 (jim_thompson5910):
the original matrix given to you leads to a false solution (so it can't be the proper matrix)
OpenStudy (anonymous):
ohhhh ok i see