Error Analysis A student solved a system of linear equations using the elimination method as follows. Describe and correct the error made by the student.
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Multiply equation 1 by 2. Multiply equation 2 by 3. Add the equations. Divide by -7 |
To find: the error and correct it with describing it.
Answer to Problem 14P
Mistake of student:- In Equation (2) student multiply by 3 but didn’t change
Explanation of Solution
Given information:
Given system of equation is
Calculation:- Here given system of equation is
Now, to apply elimination method in system of linear equation, one variable (either
In given system of equation,
Now, we can see
To find the value of
Mistake of student:- In Equation (2) student multiply by 3 but didn’t change
Verification:-
To verify values of x and y put these in given system, if both the side of equations are same then values are correct.
Hence values of
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