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OpenStudy (anonymous):
If you were to use the elimination method to solve the following system, choose the new system of equations that would result after the variable z is eliminated in the first and third equations, then the second and third equations.
13 years ago
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OpenStudy (anonymous):
x – y + 2z = –2
2x + 2y + z = 7
3x + 3y – z = 3
13 years ago
OpenStudy (anonymous):
choices are:
13 years ago
OpenStudy (anonymous):
2x + 2y = 7
3x + 3y = 3
2x + 2y = 7
5x + 5y = 10
7x + 5y = 4
3x + 3y = 3
7x + 5y = 4
5x + 5y = 10
13 years ago
OpenStudy (anonymous):
for first and third equations...: by what do you multiply the third equation in order to eliminate z when the two equations are added?
13 years ago
OpenStudy (anonymous):
2
13 years ago
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OpenStudy (anonymous):
yes, and what's the result when you add them after multiplying the third eqn. by 2?
13 years ago
OpenStudy (anonymous):
-5x - 7y = -8
13 years ago
OpenStudy (anonymous):
I got C, is that right?
13 years ago
OpenStudy (anonymous):
x – y + 2z = –2
+2(3x + 3y – z = 3)
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13 years ago
OpenStudy (anonymous):
x - y + 2z = -2
6x + 6y -2z = 6
13 years ago
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OpenStudy (anonymous):
so 7x + 5y = 4
13 years ago
OpenStudy (anonymous):
so it's C or D
now add equations 2 and 3
13 years ago
OpenStudy (anonymous):
so it's either c or d hmm
13 years ago
OpenStudy (anonymous):
okay
13 years ago
OpenStudy (anonymous):
5x + 5y = 10
13 years ago
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OpenStudy (anonymous):
it's d?
13 years ago
OpenStudy (anonymous):
yep
13 years ago
OpenStudy (anonymous):
thanks!!
13 years ago
OpenStudy (anonymous):
sure
13 years ago
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