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)
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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Nora and William are asked to solve the system of equations below without graphing.
y-1 =3x
y=2x² - 4x +9
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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
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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
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1:10
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