Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. X-2y+3z = 15 2x+ y +z = 10 %3D -3x+2y-2z = - 23

College Algebra (MindTap Course List)
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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-2y+3z
15
%3D
2x +y+z =
%3D
- 3x + 2y-2z =
- 23
%3D
.....
Select the correct choice below and, if necessary, fill in the answer box(es) in your choice.
O A. The solution is ( )
(Simplify your answers.
O B. There are infinitely many solutions. The solution can be written as {(x,y,z) | x =
(Simplify your answers. Type expressions using z as the variable.)
z is any real number>.
O C. There are infinitely many solutions.The solution can be written as
{(x.y.z) | x =
y is any real number, z is any real number}.
%3D
(Simplify your answer. Type an expression using y and z as the variables.)
O D. The system is inconsistent.
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-2y+3z 15 %3D 2x +y+z = %3D - 3x + 2y-2z = - 23 %3D ..... Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is ( ) (Simplify your answers. O B. There are infinitely many solutions. The solution can be written as {(x,y,z) | x = (Simplify your answers. Type expressions using z as the variable.) z is any real number>. O C. There are infinitely many solutions.The solution can be written as {(x.y.z) | x = y is any real number, z is any real number}. %3D (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent.
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