Chapter 1, Problem 51RE

### Mathematical Applications for the ...

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

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+yâˆ’z=122yâˆ’3z=âˆ’73x+3yâˆ’7z=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+yâˆ’z=12 â€¦â€¦ (1)

2yâˆ’3z=âˆ’7 â€¦â€¦ (2)

3x+3yâˆ’7z=0 â€¦â€¦ (3)

Multiply equation (1) by 3.

3x+3yâˆ’3z=36 â€¦â€¦ (4)

Subtract equation (4) from equation (3).

3x+3yâˆ’7zâˆ’3xâˆ’3y+3z=0âˆ’36âˆ’4z=âˆ’36z=9

Substitute 9 for z in equation (2)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started