Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Question
Chapter 7.1, Problem 19E
To determine
To find : the solution to the given system of equation using substitution method
Expert Solution & Answer
Answer to Problem 19E
The solutions to the given system of equation are
Explanation of Solution
Given information : The system of equation is
Concept Involved:
Solution of a system of equation is the point which makes both the equation TRUE.
Graphically the solution to the system of equation is the point where the two lines meet.
Method of Substitution:
1. Solve one of the equations for one variable in terms of the other.
2. Substitute the expression found in Step 1 into the other equation to obtain an equation in one variable.
3. Solve the equation obtained in Step 2.
4. Back-substitute the value obtained in Step 3 into the expression obtained in Step 1 to find the value of the other variable.
5. Check that the solution satisfies each of the original equations.
Calculation:
| Description | Steps |
| Label the given equation | |
| Add | |
| Combine like terms in on both sides of equation | |
| Multiply 5 throughout the equation |
Calculation (Continued):
| Description | Steps |
| Substitute | |
| Combine like terms in left side of the equation | |
| Subtract 0.5 on both sides of the equation | |
| Combine like terms in both side of the equation | |
| Divide 1.8 on both sides | |
| Simplify fraction in both sides of the equation | |
| Substitute | |
| Divide by 0.3 on both sides of the equation | |
| Simplify fraction on both sides |
Conclusion:
The solutions to the given system of equation are
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
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