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what is the solution to the following system? 5x+2y+z=4 x+2z=4 2x+y-z=-1 A. x = 0, y = 1, z = 2 B. x = 1, y = –1, z = 2 C. x = 1, y = 0, z = –1 D. x = 2, y = 1, z = 0
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Nov 2, 2019
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what is the solution to the following system?
5x+2y+z=4
x+2z=4
2x+y-z=-1
A.
x = 0, y = 1, z = 2
B.
x = 1, y = –1, z = 2
C.
x = 1, y = 0, z = –1
D.
x = 2, y = 1, z = 0
Mathematics
high-school
Erikbozic
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A. x = 0, y = 1, z = 2
Eakan Gopalakrishnan
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Nov 4, 2019
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Eakan Gopalakrishnan
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We solve the system by applying the following steps:
1) Write two of the variables in terms of the third variable. For this case we write x, y in terms of z.
2) Substitute the expressions in the first equation since it relates all the variables.
3) Clear z.
4) with the value of z, find x, y
Answer:
A. x = 0, y = 1, z = 2
See attached image.
NavaRajan
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Nov 7, 2019
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NavaRajan
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