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To solve: The system of linear equations
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Answer to Problem 1RE
The solution set of the system of linear equations
Explanation of Solution
Given:
The system of linear equations is
Procedure used:
“To solve the system of linear equations by Substitution:
Step 1: Solve either of the equations for one variable in terms of the other. (If one of the equations is already in this form, you can skip this step.)
Step 2: Substitute the expression found in step 1 into the other equation.
Step 3: Solve the equation containing one variable.
Step 4: Back-substitute the value found in step 3 into one of the original equations. Simplify and find the value of the remaining variable.
Step 5: Check the obtained ordered pair by putting the corresponding value to the variables of the system of linear equations.”
Calculation:
The first equation is given below:
The second equation is given below:
Step 1:
In equation (1), isolate the variable
Step 2:
Substitute
Here, the variable
Step 3:
Solve the equation obtained in Step 2 to find the value of
Simplify the above equation as follows:
Therefore, the value of
Step 4:
Substitute
Simplify the above equation as follows:
Therefore, the value of
Step 5:
Check whether the obtained solution
Substitute
Substitute
Therefore, the obtained solution
Thus, the solution set of the system of linear equations
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Chapter 7 Solutions
Graphical Approach To College Algebra
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