Solution Found!
Use back substitution to solve each of the following systems of equations: (a) x1 3x2 =
Chapter 1, Problem 1(choose chapter or problem)
Use back substitution to solve each of the following systems of equations:
(a) \(\begin{aligned}
x_{1}-3 x_{2} & =2 \\
2 x_{2} & =6
\end{aligned}\)
(b) \(\begin{aligned}
x_{1}+x_{2}+x_{3} & =8 \\
2 x_{2}+x_{3} & =5 \\
3 x_{3} & =9
\end{aligned}\)
(c) \(\begin{aligned}
x_{1}+2 x_{2}+2 x_{3}+x_{4} & =5 \\
3 x_{2}+x_{3}-2 x_{4} & =1 \\
-x_{3}+2 x_{4} & =-1 \\
4 x_{4} & =4
\end{aligned}\)
(d) \(\begin{aligned}
x_{1}+x_{2}+x_{3}+x_{4}+x_{5} & =5 \\
2 x_{2}+x_{3}-2 x_{4}+x_{5} & =1 \\
4 x_{3}+x_{4}-2 x_{5} & =1 \\
x_{4}-3 x_{5} & =0 \\
2 x_{5} & =2
\end{aligned}\)
Questions & Answers
QUESTION:
Use back substitution to solve each of the following systems of equations:
(a) \(\begin{aligned}
x_{1}-3 x_{2} & =2 \\
2 x_{2} & =6
\end{aligned}\)
(b) \(\begin{aligned}
x_{1}+x_{2}+x_{3} & =8 \\
2 x_{2}+x_{3} & =5 \\
3 x_{3} & =9
\end{aligned}\)
(c) \(\begin{aligned}
x_{1}+2 x_{2}+2 x_{3}+x_{4} & =5 \\
3 x_{2}+x_{3}-2 x_{4} & =1 \\
-x_{3}+2 x_{4} & =-1 \\
4 x_{4} & =4
\end{aligned}\)
(d) \(\begin{aligned}
x_{1}+x_{2}+x_{3}+x_{4}+x_{5} & =5 \\
2 x_{2}+x_{3}-2 x_{4}+x_{5} & =1 \\
4 x_{3}+x_{4}-2 x_{5} & =1 \\
x_{4}-3 x_{5} & =0 \\
2 x_{5} & =2
\end{aligned}\)
Step By Step SolutionStep 1 of 11a) Given Equations .............(1) .....................(2)Find x_2 from equation (2)