Which system of equations has the same solutions as the system below? 18x – 6y = 42 4x + 6y = 24 - За - у — 7 A x +y = 2 6x 2y = 14 - -6x + 9y = 36 %3D - 9х — Зу — -21 %3D За - у 3 7 2x + 3y = 12
Which system of equations has the same solutions as the system below? 18x – 6y = 42 4x + 6y = 24 - За - у — 7 A x +y = 2 6x 2y = 14 - -6x + 9y = 36 %3D - 9х — Зу — -21 %3D За - у 3 7 2x + 3y = 12
Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Identifying Equivalent Systems of Equations
**Question:**
Which system of equations has the same solutions as the system below?
\[
18x - 6y = 42
\]
\[
4x + 6y = 24
\]
**Options:**
**A.**
\[
3x - y = 7
\]
\[
x + y = 2
\]
**B.**
\[
6x - 2y = 14
\]
\[
-6x + 9y = 36
\]
**C.**
\[
-9x - 3y = -21
\]
\[
2x + 3y = 12
\]
**D.**
\[
3x - y = 7
\]
\[
2x + 3y = 12
\]
To determine which provided system of equations has the same solutions as the original system, you can manipulate the equations algebraically to check for equivalency.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8c31c4c-2cb1-4b08-9ef6-12638c1d9513%2F1904c996-6b24-40e9-944a-562e57137df3%2Ffwxzg1i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Identifying Equivalent Systems of Equations
**Question:**
Which system of equations has the same solutions as the system below?
\[
18x - 6y = 42
\]
\[
4x + 6y = 24
\]
**Options:**
**A.**
\[
3x - y = 7
\]
\[
x + y = 2
\]
**B.**
\[
6x - 2y = 14
\]
\[
-6x + 9y = 36
\]
**C.**
\[
-9x - 3y = -21
\]
\[
2x + 3y = 12
\]
**D.**
\[
3x - y = 7
\]
\[
2x + 3y = 12
\]
To determine which provided system of equations has the same solutions as the original system, you can manipulate the equations algebraically to check for equivalency.
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