Can only choose 1 choice for each. Consider the following three systems of linear equations.System B-5x+3y=3 [A1]-5x+3y=3 [B1]8x+7y=-15 [A2] 2x+y=-21 [B2]System AAnswer the questions below.For each, choose the transformation and then fill in the blank with the correct number.The arrow (→) means the expression on the left becomes the expression on the right.(a) How do we transform System A into System B?Ox Equation [A1]Xox Equation [A2]XOOx Equation [A1] + Equation [A2]Xo DOEquation [B1]Equation [B2]X Equation [B1](b) How do we transform System B into System C?-x Equation [A2] + Equation [A1] Equation [B1]System C-11x=66 [C1]2x+y=-21 [C2]Equation [C1]0 x Equation [B2] Equation [C2]Ox Equation [B1] + Equation [B2]XEquation [B2]→Equation [C2]O0 x Equation [B2] + Equation [B1] Equation [C1]8 08X

Answered: Consider the following three systems 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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Question

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Can only choose 1 choice for each.

Consider the following three systems of linear equations.
System B
-5x+3y=3 [A1]
-5x+3y=3 [B1]
8x+7y=-15 [A2] 2x+y=-21 [B2]
System A
Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
The arrow (→) means the expression on the left becomes the expression on the right.
(a) How do we transform System A into System B?
Ox Equation [A1]
X
ox Equation [A2]
X
O
Ox Equation [A1] + Equation [A2]
X
o D
O
Equation [B1]
Equation [B2]
X Equation [B1]
(b) How do we transform System B into System C?
-
x Equation [A2] + Equation [A1] Equation [B1]
System C
-11x=66 [C1]
2x+y=-21 [C2]
Equation [C1]
0 x Equation [B2] Equation [C2]
Ox Equation [B1] + Equation [B2]
X
Equation [B2]
→
Equation [C2]
O
0 x Equation [B2] + Equation [B1] Equation [C1]
8 08
X

Expert Solution

Step 1: Define the problem.

Given:

$table row blank blank cell System space straight A colon space end cell row blank blank cell open curly brackets table row cell negative 5 straight x plus 3 straight y equals 3 space space space space space space space space space space space space open square brackets straight A subscript 1 close square brackets end cell row cell negative 8 straight x plus 7 straight y equals negative 15 space space space space space space open square brackets straight A subscript 2 close square brackets end cell end table close end cell row blank blank cell System space straight B colon space end cell row blank blank cell open curly brackets table row cell negative 5 straight x plus 3 straight y equals 3 space space space space space space space open square brackets straight B subscript 1 close square brackets end cell row cell 2 straight x plus straight y equals negative 21 space space space space space space space space open square brackets straight B subscript 2 close square brackets end cell end table close end cell row blank blank cell System space straight C colon space end cell row blank blank cell open curly brackets table row cell negative 11 straight x equals 66 space space space space space space space space space space open square brackets straight C subscript 1 close square brackets end cell row cell 2 straight x plus straight y equals negative 21 space space space space space space space open square brackets straight C subscript 2 close square brackets end cell end table close end cell end table$

To Find:

(a) To transform system A into system B.

(b) To transform system B into system C.