Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x+ y+ z = -1 -x+3y-11z = - 13 6x - 5y - 12z = Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 9CT
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Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
-x+ y+
z = -1
-x+3y-11z = - 13
6x - 5y-12z =
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The solution is ( .
(Simplify your answers.)
B. There are infinitely many solutions. The solution can be written as {(x.y.z)|x=y z is any real number.
(Simplify your answers. Type expressions using z as the variable.)
O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x=
(Simplify your answer. Type an expression using y and z as the variables.)
y is any real number, z is any real number.
O D. The system is inconsistent.
Click to select and enter your answer(s) and then click Check Answer.
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MacBook Pro
Transcribed Image Text:Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x+ y+ z = -1 -x+3y-11z = - 13 6x - 5y-12z = Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is ( . (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as {(x.y.z)|x=y z is any real number. (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z)|x= (Simplify your answer. Type an expression using y and z as the variables.) y is any real number, z is any real number. O D. The system is inconsistent. Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All MacBook Pro
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