T1mSolve the following system of linear equations:How to enter the solution:-1x2. If the value of a variable is a number, just enter the number.•X2subscripts of variables, and *If the value of a variable is a formula involving free variables, enter the formula. For example, if you obtain that x₁ = 1-2x2 + 3x3zwhere ₂ and 3 are free, then as the value of a you should enter 1 - 2*x 2 + 3*x_3. Use the underscore to indicateto indicate multiplication.• If a variable is a free variable, enter the variable name as its value. For example, if ₂ is a free variable, then you should enter x_2 asthe value of ₂.HERO-If the system has no solutions enter None as the value of one of the variables. In such case you can leave values of the remainingvariables blank.-5-x-213-1 + x₂ 13 = 3-3x1 +4x2+ 3+ 4 = 106x24x32x4 = -144x1GEFI-X4 =-

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Answered: x1 = Solve the following system of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

T1
m
Solve the following system of linear equations:
How to enter the solution:
-1x2
. If the value of a variable is a number, just enter the number.
•
X2
subscripts of variables, and *
If the value of a variable is a formula involving free variables, enter the formula. For example, if you obtain that x₁ = 1-2x2 + 3x3z
where ₂ and 3 are free, then as the value of a you should enter 1 - 2*x 2 + 3*x_3. Use the underscore to indicate
to indicate multiplication.
• If a variable is a free variable, enter the variable name as its value. For example, if ₂ is a free variable, then you should enter x_2 as
the value of ₂.
HERO
-If the system has no solutions enter None as the value of one of the variables. In such case you can leave values of the remaining
variables blank.
-5-x-2
13
-1 + x₂ 13 = 3
-3x1 +4x2+ 3+ 4 = 10
6x2
4x32x4 = -14
4x1
GEFI
-
X4 =
-

Expert Solution

Step 1: Write the system of equations

$Given space that space the space system space of space equations space minus x subscript 1 plus x subscript 2 minus x subscript 3 equals 3 minus 3 x subscript 1 plus 4 x subscript 2 plus x subscript 3 plus x subscript 4 equals 10 4 x subscript 1 minus 6 x subscript 2 minus 4 x subscript 3 minus 2 x subscript 4 equals negative 14 This space is space in space the space form space A x equals b Here space space A equals open square brackets table row cell negative 1 end cell 1 cell negative 1 end cell 0 row cell negative 3 end cell 4 1 1 row 4 cell negative 6 end cell cell negative 4 end cell cell negative 2 end cell end table close square brackets space space comma space space x equals open square brackets table row cell x subscript 1 end cell row cell x subscript 2 end cell row cell x subscript 3 end cell row cell x subscript 4 end cell end table close square brackets space space comma space space b equals open square brackets table row 3 row 10 row cell negative 14 end cell end table close square brackets space$