Answer 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 System of linear equations with two variable can expressed as follows: a 1 x + b 1 y = c 1 ...... ( 1 ) a 2 x + b 2 y = c 2 ...... ( 2 ) 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.

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

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:

a1x+b1y=c1 ...... (1)a2x+b2y=c2 ...... (2)

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 7.1, Problem 1E

Chapter 7.1, Problem 3E

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

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