Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 7.1, Problem 2E
To determine
To fill the blanks with the appropriate word for the statement: system of equations can be solved by substituting one variable from one equation to other.
Expert Solution & Answer
Answer to Problem 2E
The first step in solving a system of equations by the method of substitution is to solve any one equation for one variable in terms of the other.
Explanation of Solution
System of linear equations with two variable can expressed as follows:
Here, a , b and c are the constants. 1 and 2 are the subscript for equation one and 2 respectively.
Above system of equations can be solved by many of the methods such as:
- Elimination method.
- Graphical method.
- Substitution method.
- Gaussian-Jordan elimination method.
Substitution method
This method is method of solving system of linear equations by substituting value of one variable (say x ) of any of the equation to the other equation. This variable ( x ) can be evaluated. Then substitute this variable in any of the equations to get the value of other variable (say y ).
Thus, the first step in solving a system of equations by the method of substitution is to solve any oneequation for one variable in terms of the other.
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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