Precalculus with Limits
Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 7.2, Problem 28E
To determine

The solution of the system of equations by using elimination method and check the solution algebraically.

Expert Solution & Answer
Check Mark

Answer to Problem 28E

  (−149,209) .

Explanation of Solution

Given information:

The system of the equation are:

  {2x+5y=85x+8y=10

Calculation:

The given equations are {2x+5y=85x+8y=10 .

To find the solution of the system of equation by elimination method, firstly multiply the first equation by 5 and second equation by 2 :

  10x+25y=4010x+16y=20

Subtract the above equation one from another:

  10x+25y=4010x+16y=20−   −         −_        9y=20            y=209

Substitute the value of  y=209 in the given first equation to find the value of x :

  2x+5y=82x+5(209)=82x+1009=8x=−149

The values of x and y are −149 and 209 .

The lines are intersected at (−149,209) so, we will verify the solution of the system of equation by substituting the point of intersection as follows:

  2x+5y=84(−149)+5(209)=88=8 5x+8y=105(−149)+8(209)=1010=10

It mean point of intersection satisfies both the equation and hence it will be the solution of the system of equations.

Thus,the solutions are (−149,209) .

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Chapter 7.2, Problem 27E
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Chapter 7.2, Problem 29E

Chapter 7 Solutions

Precalculus with Limits

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