Vineet solved a system of equations by substitution. in his work, he substituted an expression for one of the variables and solved for the value of the other. this resulted in the equation 7 = 9. what can vineet conclude? (a) the solution to the system is (7, 9). (b) the system of equations does not have a solution. (c) the work must be incorrect because it is not possible to get this equation. (d) the system of equations has infinitely many solutions.

Question

Winston Ho

Mathematics

11 June, 10:56

Vineet solved a system of equations by substitution. in his work, he substituted an expression for one of the variables and solved for the value of the other. this resulted in the equation 7 = 9. what can vineet conclude? (a) the solution to the system is (7, 9). (b) the system of equations does not have a solution. (c) the work must be incorrect because it is not possible to get this equation. (d) the system of equations has infinitely many solutions.

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Answers (1)

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Grant Morrow · Answer 1

Answer b: the system of equations does not have a solution

Suppose the systems consits of two first grade equations with two varaibles. If the two equations are parallel you would obtaing a result like Vinnet.

This is an example:

x = y + 1

7x = 7y + 9

substitue to get:

7 (y+1) = 7y + 9

7y + 7 = 7y + 9

7=9

There is not mistake, the system has no solutions, because the two equations represent parallel lines, which do no intercept one to each other.