PLEASE SELECT THE CORRECT ANSWERA system of equations is shown below:5x + 2y = 3 (equation 1)2x − 3y = 1 (equation 2)A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof? AShow that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equationsBShow that the solution to the system of equations 2x + 5y = 3 and 3x − 2y = 1 is the same as the solution to the given system of equationsCShow that the solution to the system of equations 9x + 4y = 5 and 7x − y = 4 is the same as the solution to the given system of equationsDShow that the solution to the system of equations −4x + 9y = 5 and 2x − 3y = 1 is the same as the solution to the given system of equations

Here we have to use the concept of linear equation

Answered: PLEASE SELECT THE CORRECT ANSWER A…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section5.4: Solving Special Systems Of Linear Equations

Problem 15Q

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PLEASE SELECT THE CORRECT ANSWER

A system of equations is shown below:

5x + 2y = 3 (equation 1)
2x − 3y = 1 (equation 2)

A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

A	Show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations
B	Show that the solution to the system of equations 2x + 5y = 3 and 3x − 2y = 1 is the same as the solution to the given system of equations
C	Show that the solution to the system of equations 9x + 4y = 5 and 7x − y = 4 is the same as the solution to the given system of equations
D	Show that the solution to the system of equations −4x + 9y = 5 and 2x − 3y = 1 is the same as the solution to the given system of equations