EBK PRECALCULUS W/LIMITS

3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 7.3, Problem 10E

To determine

The solution of the system of equations.

Expert Solution

Answer to Problem 10E

Yes.

Explanation of Solution

Given information:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

(a) (−2,−2,2)

Calculation:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

To find whether each ordered triple is a solution of the system of equations or not, plug the ordered triple (−2,−2,2) into the first equation in the system of equations.

−4x−y−8z=−6−4(−2)−(−2)−8(2)=−68+2−16=−6−6=−6

Substitute all the three possible values of x,y, and z into the second and third system of equations to check for equality.

y+z=0⇒−2+2=0⇒0=04x−7y=6⇒4(−2)−7(−2)=6⇒−8+14=6⇒6=6

The ordered triple fits all the three equations so, all the three system of equations are equivalent.

Thus, it is a solution to the system of equations.

To determine

The solution of the system of equations.

Expert Solution

Answer to Problem 10E

No.

Explanation of Solution

Given information:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

(b) (−332,−10,10)

Calculation:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

To find whether each ordered triple is a solution of the system of equations or not, plug the ordered triple (−332,−10,10) into the first equation in the system of equations.

−4x+y−8z=−6(−332,−10,10)−4(−332)−(−10)−8(10)=−666+10−80=−676−80=−6−4≠−6

Both sides are not equivalent. It mean the ordered triple are not satisfies the system of equation. Therefore, the ordered triple (−332,−10,10) is not a solution of the system of equations.

To determine

The solution of the system of equations.

Expert Solution

Answer to Problem 10E

Yes.

Explanation of Solution

Given information:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

Calculation:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

To find whether each ordered triple is a solution of the system of equations or not, plug the ordered triple (18,−12,12) into the first equation in the system of equations.

−4x−y−8z=−6−4(18)−(−12)−8(12)=−6−12+12−4=0−4≠0

Both sides are not equivalent. It mean the ordered triple are not satisfies the system of equation. Therefore, the ordered triple (18,−12,12) is not a solution of the system of equations.

To determine

The solution of the system of equations.

Expert Solution

Answer to Problem 10E

No.

Explanation of Solution

Given information:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

(d) (−112,−4,4)

Calculation:

The linear equations are:

{−4x−y−8z=−6 y+z=04x−7y =6

To find whether each ordered triple is a solution of the system of equations or not, plug the ordered triple (−112,−4,4) into the first equation in the system of equations.

4x+y−8z=−64(−112)+(−4)−8(4)=−6−22−4−32=−6−54−4=−6−58≠−6

Both sides are not equivalent. It mean the ordered triple are not satisfies the system of equation. Therefore, the ordered triple (−112,−4,4) is not a solution of the system of equations.

Chapter 7.3, Problem 9E

Chapter 7.3, Problem 11E

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - 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