The following linear system is in echelon form. Solve the linear system by back substitution. ×₁-5x2+x3 = 18 X2+x3 = 8 ... What is the solution to the linear system? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. There is a unique solution, X₁ = 1×2 = (Type integers or simplified fractions.) X3 = B. There are infinitely many solutions of the form x₁ = t is a real number. ' 1×2 = ,X3=t, where (Simplify your answers. Use integers or fractions for any numbers in the expressions.) C. There are infinitely many solutions of the form x₁ = and t are real numbers. X2S, x3 =t, where s (Simplify your answers. Use integers or fractions for any numbers in the expressions.) D. There is no solution.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.2: Solve Applications With Systems Of Equations
Problem 4.30TI: Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each...
Question
The following linear system is in echelon form. Solve the linear system by back
substitution.
×₁-5x2+x3 = 18
X2+x3 = 8
...
What is the solution to the linear system? Select the correct choice below and,
if necessary, fill in the answer box(es) to complete your choice.
A. There is a unique solution, X₁ = 1×2 =
(Type integers or simplified fractions.)
X3 =
B. There are infinitely many solutions of the form x₁ =
t is a real number.
'
1×2 =
,X3=t, where
(Simplify your answers. Use integers or fractions for any numbers in
the expressions.)
C. There are infinitely many solutions of the form x₁ =
and t are real numbers.
X2S, x3 =t, where s
(Simplify your answers. Use integers or fractions for any numbers in
the expressions.)
D. There is no solution.
Transcribed Image Text:The following linear system is in echelon form. Solve the linear system by back substitution. ×₁-5x2+x3 = 18 X2+x3 = 8 ... What is the solution to the linear system? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. There is a unique solution, X₁ = 1×2 = (Type integers or simplified fractions.) X3 = B. There are infinitely many solutions of the form x₁ = t is a real number. ' 1×2 = ,X3=t, where (Simplify your answers. Use integers or fractions for any numbers in the expressions.) C. There are infinitely many solutions of the form x₁ = and t are real numbers. X2S, x3 =t, where s (Simplify your answers. Use integers or fractions for any numbers in the expressions.) D. There is no solution.
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