Question

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? the solution to the system is (7, 9). the system of equations does not have a solution. the work must be incorrect because it is not possible to get this equation. the system of equations has infinitely many solutions.

Explanation:

Step1: Analyze the result of substitution

When substituting values into a system of equations, if we get a false - statement like \(7 = 9\), it means the system has no solution. A system with infinitely many solutions would result in an identity (e.g., \(0=0\)).

Step2: Evaluate the conclusion

Since Vineet got \(7 = 9\) after substitution, this is a false statement. So the system of equations does not have a solution.

Answer:

The system of equations does not have a solution.