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бу - 2г 3-32 Marigold wants to solve the system of equations {x- 9y+ 3z = 59 . | 2x + 7y – 2z = –14

бу - 2г 3-32 Marigold wants to solve the system of equations {x- 9y+ 3z = 59 . | 2x + 7y – 2z = –14

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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( бу — 2г %3-32 Marigold wants to solve the system of equations {x- 9y + 3z = 59 . | 2x + 7y – 2z = –14 Her work is shown. Step 1: Marigold begins by solving for z in the first equation. 6y – 2z = –32 |- 2z = -32 – 6y z = 3y + 16 Then she uses substitution in the second equation and solves for Step 2: x. x- 9y + 3(3y + 16) = 59 x- 9y + 9y + 16 = 59 x = 43 Step 3: Next, she uses x and z to solve for y in the third equation. 2(43) + 7y – 2(3y + 16) = –14 |86 + 7у - бу -32- -14 y = -68 Step 4: Finally, she uses y to solve for z in the first equation. 6(-68) – 2z = –32 Her work is shown. Step 1: Marigold begins by solving for z in the first equation. 6y – 2z = -32 |- 2z = -32 – 6y z = 3y + 16 Then she uses substitution in the second equation and solves for Step 2: x. x- 9y + 3(3y + 16) = 59 x- 9y + 9y + 16 = 59 x = 43 Step 3: Next, she uses x and z to solve for y in the third equation. 2(43) + 7y – 2(3y + 16) = –14 |86+ 7y — бу — 32 3 -14 y = -68 Step 4: Finally, she uses y to solve for z in the first equation. 6(-68) – 2z = –32 z = -188
Transcribed Image Text:( бу — 2г %3-32 Marigold wants to solve the system of equations {x- 9y + 3z = 59 . | 2x + 7y – 2z = –14 Her work is shown. Step 1: Marigold begins by solving for z in the first equation. 6y – 2z = –32 |- 2z = -32 – 6y z = 3y + 16 Then she uses substitution in the second equation and solves for Step 2: x. x- 9y + 3(3y + 16) = 59 x- 9y + 9y + 16 = 59 x = 43 Step 3: Next, she uses x and z to solve for y in the third equation. 2(43) + 7y – 2(3y + 16) = –14 |86 + 7у - бу -32- -14 y = -68 Step 4: Finally, she uses y to solve for z in the first equation. 6(-68) – 2z = –32 Her work is shown. Step 1: Marigold begins by solving for z in the first equation. 6y – 2z = -32 |- 2z = -32 – 6y z = 3y + 16 Then she uses substitution in the second equation and solves for Step 2: x. x- 9y + 3(3y + 16) = 59 x- 9y + 9y + 16 = 59 x = 43 Step 3: Next, she uses x and z to solve for y in the third equation. 2(43) + 7y – 2(3y + 16) = –14 |86+ 7y — бу — 32 3 -14 y = -68 Step 4: Finally, she uses y to solve for z in the first equation. 6(-68) – 2z = –32 z = -188
A: What mistake did Marigold make? B: What is the correct solution? Select one answer for Part A and one answer for Part B. О в (11, -68, -188) О в: (11,-4, 4) О в: (43, —4, 4) О в (43, -68, -188) OA: In Step 4, Marigold incorrectly solved for z. Because there is an error in Step 4, Marigold's solution is incorrect. О в: (43, —4, 4) О в: (43, -68, -188) O A: In Step 4, Marigold incorrectly solved for z. Because there is an error in Step 4, Marigold's solution is incorrect. O A: In Step 3, Marigold incorrectly solved for y. Because of this error, Step 4 is also incorrect. O A: In Step 1, Marigold incorrectly isolated z. Because of this error, steps 2, 3, and 4 are also incorrect. O : In Step 2, Marigold made a mistake distributing. Also, because of this error, steps 3 and 4 are also incorrect.
Transcribed Image Text:A: What mistake did Marigold make? B: What is the correct solution? Select one answer for Part A and one answer for Part B. О в (11, -68, -188) О в: (11,-4, 4) О в: (43, —4, 4) О в (43, -68, -188) OA: In Step 4, Marigold incorrectly solved for z. Because there is an error in Step 4, Marigold's solution is incorrect. О в: (43, —4, 4) О в: (43, -68, -188) O A: In Step 4, Marigold incorrectly solved for z. Because there is an error in Step 4, Marigold's solution is incorrect. O A: In Step 3, Marigold incorrectly solved for y. Because of this error, Step 4 is also incorrect. O A: In Step 1, Marigold incorrectly isolated z. Because of this error, steps 2, 3, and 4 are also incorrect. O : In Step 2, Marigold made a mistake distributing. Also, because of this error, steps 3 and 4 are also incorrect.
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