Precalculus with Limits
Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 7.2, Problem 11E
To determine

To calculate:

Solve the system by the method of elimination. Label each line with its equation.

  {3x−2y=5−6x+4y=−10

  Precalculus with Limits, Chapter 7.2, Problem 11E

Expert Solution & Answer
Check Mark

Answer to Problem 11E

There are infinite solutions for this pair of equations as they are consistent.

Explanation of Solution

Given information:

The given pair of equations are {3x−2y=5−6x+4y=−10

Concept used:

These equations can be solved graphically and algebraically. We can use the method of elimination to solve it.

Calculation:

As per the given equations we can see that there are two variables and by adding these two equations we can eliminate one variable.

Before adding we need to multiply first equation with 2 so that we can cancel y variable.

  2(3x−2y=5)→(1)−6x+4y=−10→(2)

By simplifying these equations we get,

  6x−4y=10→(1)−6x+4y=−10→(2)

Now let us add both the equations.

  6x−4y−6x+4y=10−100=0

From this we can know that these two equations lie on the same line.

Conclusion:

There are infinite solutions for this pair of equations as they are consistent.

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Chapter 7.2, Problem 10E
Next
Chapter 7.2, Problem 12E

Chapter 7 Solutions

Precalculus with Limits

Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - 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