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?
Answer
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.
Explanation
The equation 7 = 9 is false, so no values of the variables can satisfy the original system. In substitution, reaching a false statement means the system is inconsistent and has no solution. Therefore, Vineet can conclude that the system of equations does not have a solution.
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