The system of linear equations \[\begin{eqnarray}2x_1 + 3x_2 + x_3 + x_5 &=& -1 \\-4x_1 -6x_2 -2x_3-4x_4+18x_5 &=& 26 \\10x_1 + 15x_2 +5x_3 - x_4 + 10x_5 &=& 1\end{eqnarray}\] has row echelon form \[\left[\begin{array}{rrrrr|r}2 & 3 & 1 & 0 & 1 & -1 \\0 & 0 & 0 & -1 & 5 & 6 \\0 & 0 & 0 & 0 & 0 & 0\end{array}\right].\] How many solutions does this system have?单项选择题

题目图片
A

a. five

B

b. three

C

c. none

D

d. infinitely many

E

e. one

F

f. two

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