13. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. { x- y = 1 6x-7z=18 6y + 5z = 12 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The solution is ( (Simplify your answers.) B. There are infinitely many sclutions. The solution can be written as {(x.y.z)|x= .y= z is any real number}. (Simplify your answers. Typo expressions using z as the variable.) OC. 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}. (Simplify your answer. Type an expression using y and z as the variables.) OD. The system is inconsistent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.2: Substitution
Problem 34PFA
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13. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
x- y = 1
6x-7z = 18
6y + 5z = 12
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The solution is (
(Simplify your answers.)
B. There are infinitely many sclutions. 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.)
OC. 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}.
(Simplify your answer. Type an expression using y and z as the variables.)
D. The system is inconsistent.
Transcribed Image Text:13. Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x- y = 1 6x-7z = 18 6y + 5z = 12 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The solution is ( (Simplify your answers.) B. There are infinitely many sclutions. 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.) OC. 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}. (Simplify your answer. Type an expression using y and z as the variables.) D. The system is inconsistent.
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