   Chapter 1, Problem 51RE Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 45-51, solve each system of equations. { x + y − z = 12 2 y − 3 z = − 7 3 x + 3 y − 7 z = 0

To determine

To calculate: The solution of the system of equations {x+yz=122y3z=73x+3y7z=0.

Explanation

Given Information:

The given equation is:

{x+yz=122y3z=73x+3y7z=0

Formula used:

Elimination Method:

Transform the system and cancel out one variable. After that, solve for the other variable. Now, substitute the value into one of the given equations.

Calculation:

The given equation is:

x+yz=12 …… (1)

2y3z=7 …… (2)

3x+3y7z=0 …… (3)

Multiply equation (1) by 3.

3x+3y3z=36 …… (4)

Subtract equation (4) from equation (3).

3x+3y7z3x3y+3z=0364z=36z=9

Substitute 9 for z in equation (2)

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