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Nora and William are asked to solve the system of equations below without graphing y-1=3x y=2x² - 4x +9 2 Nora wants to use substitution, inserting 2x - 4x +9 in place of y in the upper equation and solving Will

Nora and William are asked to solve the system of equations below without graphing y-1=3x y=2x² - 4x +9 2 Nora wants to use substitution, inserting 2x - 4x +9 in place of y in the upper equation and solving Will

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Desmos | Graphing Ca x d Desmos | Let's learn to X C Clever | Portal ← → CD <Exit = Linear and System retake savvasrealize.com/assignments/viewer/classes/62d8a9cefdee3de81991361f/assignments/56afb7e44b12481e89739503122b2cd2/content... Nora and William are asked to solve the system of equations below without graphing. y-1 =3x y=2x² - 4x +9 X S Savvas EasyBridge X S Savvas Realize Review Progress Type here to search X Ai Scientific Calculator - x + U *** 1 O A. Nora is correct because her method reduces the system to a single quadratic equation that can be solved for x. William is incorrect because, when substituting, the equation that gives the expression to substitute for y must already have y isolated on one side. Nora wants to use substitution, inserting 2x² - 4x +9 in place of y in the upper equation and solving. William wants to rewrite y - 1 = 3x as y= 3x + 1 and begin by setting 3x + 1 equal to 2x² - 4x +9, and then solving. Which student is correct, and why? O B. William is correct because his method reduces the system to a single quadratic equation that can be solved for x. Nora is incorrect because the linear equation has to be substituted into the quadratic equation, not the other way around. O C. Both students are correct because both methods reduce the system to a single quadratic equation that can be solved for x. OD. Neither student is correct. William is incorrect because, when substituting, the equation that gives the expression to substitute for y must already have y isolated on one side. Nora is incorrect because the linear equation has to be substituted into the quadratic equation, not the other way around. C Question rw 3 of 27 O Back Due 10/05/22 8: * ☐ D Next ▸ 90 1:10 10/4/
Transcribed Image Text:Desmos | Graphing Ca x d Desmos | Let's learn to X C Clever | Portal ← → CD <Exit = Linear and System retake savvasrealize.com/assignments/viewer/classes/62d8a9cefdee3de81991361f/assignments/56afb7e44b12481e89739503122b2cd2/content... Nora and William are asked to solve the system of equations below without graphing. y-1 =3x y=2x² - 4x +9 X S Savvas EasyBridge X S Savvas Realize Review Progress Type here to search X Ai Scientific Calculator - x + U *** 1 O A. Nora is correct because her method reduces the system to a single quadratic equation that can be solved for x. William is incorrect because, when substituting, the equation that gives the expression to substitute for y must already have y isolated on one side. Nora wants to use substitution, inserting 2x² - 4x +9 in place of y in the upper equation and solving. William wants to rewrite y - 1 = 3x as y= 3x + 1 and begin by setting 3x + 1 equal to 2x² - 4x +9, and then solving. Which student is correct, and why? O B. William is correct because his method reduces the system to a single quadratic equation that can be solved for x. Nora is incorrect because the linear equation has to be substituted into the quadratic equation, not the other way around. O C. Both students are correct because both methods reduce the system to a single quadratic equation that can be solved for x. OD. Neither student is correct. William is incorrect because, when substituting, the equation that gives the expression to substitute for y must already have y isolated on one side. Nora is incorrect because the linear equation has to be substituted into the quadratic equation, not the other way around. C Question rw 3 of 27 O Back Due 10/05/22 8: * ☐ D Next ▸ 90 1:10 10/4/
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