Description
Solve the system using matrices (row operations)
2𝑥+3𝑦+𝑧,=-2
-3𝑥-4𝑦-2𝑧,=1
4𝑥-5𝑦-6𝑧,=-17
How many solutions are there to this system?
A. None
B. Exactly 1
C. Exactly 2
D. Exactly 3
E. Infinitely many
F. None of the above
Note: each solution to this system is an ordered triplet with three coordinates. Together, the three
coordinates make one solution. Having exactly three solutions is not possible.
If there is one solution, give its coordinates in the answer spaces below.
If there are infinitely many solutions, enter 𝑧 in the answer blank for 𝑧, enter a formula for 𝑦 in terms of 𝑧 in
the answer blank for 𝑦 and enter a formula for 𝑥 in terms of 𝑧 in the answer blank for 𝑥.
If there are no solutions, leave the answer blanks for 𝑥,𝑦 and 𝑧 empty.
𝑥=
𝑦=
𝑧=
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