Explanation Given Information: The system of equations: 3 ( 2 x + y ) = 4 ( 3 z − 1 ) y + 4 z = 2 ( 3 + 5 x ) 2 ( x + z ) = y − 1 Calculation: Step 1: Write the equations in standard form A x + B y + C z = D . 6 x + 3 y − 12 z = − 4 …...…... (A) − 10 x + y + 4 z = 6 …...…... (B) 2 x − y + 2 z = − 1 …...…... (C) Step 2: The y variable can be eliminated from equations C and B. Add equation B to equation C as follows: − 10 x + y + 4 z = 6 2 x − y + 2 z = − 1 _ − 8 x + 6 z = 5 …...…... (D) Step 3: The y variable can be eliminated from equations C and A. Multiply equation C by ( 3 ) and add to equation A as follows: 6 x − 3 y + 6 z = − 3 6 x + 3 y − 12 z = − 4 _ 12 x − 6 z = − 7 …...…... (E) Step 4: The z variable can be eliminated from equations E and D. Add equation E to equation D as follows: 12 x − 6 z = − 7 − 8 x + 6 z = 5 _ 4 x = − 2 x = − 2 4 Solve it further to get, x = − 1 2 Step 5: Substitute the above obtained value of x in equation D as follows: − 8 x + 6 z = 5 − 8 ( − 1 2 ) + 6 z = 5 4 + 6 z = 5 6 z = 5 − 4 Solve it further to get, 6 z = 1 z = 1 6

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ISBN: 9781266148941

Author: Miller

Publisher: MCG CUSTOM

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Chapter 4.5, Problem 37PE

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If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows:

3(2x+y)=4(3z−1)y+4z=2(3+5x)2(x+z)=y−1

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Chapter 4.5, Problem 36PE

Chapter 4.5, Problem 38PE

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If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows: 3 ( 2 x + y ) = 4 ( 3 z − 1 ) y + 4 z = 2 ( 3 + 5 x ) 2 ( x + z ) = y − 1

Solution Summary: The author explains how to determine if the given system of equations is dependent or inconsistent or has a unique solution.

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If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows:

3(2x+y)=4(3z−1)y+4z=2(3+5x)2(x+z)=y−1

Want to see the full answer?

Chapter 4 Solutions

If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows: 3 ( 2 x + y ) = 4 ( 3 z − 1 ) y + 4 z = 2 ( 3 + 5 x ) 2 ( x + z ) = y − 1

Solution Summary: The author explains how to determine if the given system of equations is dependent or inconsistent or has a unique solution.

Videos

If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows: 3(2x+y)=4(3z−1)y+4z=2(3+5x)2(x+z)=y−1

Want to see the full answer?

Chapter 4 Solutions

If the given system of equations is dependent or inconsistent or has a unique solution. If there is a unique solution, solve for it. The system of equations is given as follows:

3(2x+y)=4(3z−1)y+4z=2(3+5x)2(x+z)=y−1