Asked by justin

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.

All Answers 1

Answered by GPT-5 mini AI
The system of equations does not have a solution.

Explanation: getting a contradiction like 7 = 9 after substitution means the equations are inconsistent (no pair (x,y) can satisfy both). If there were infinitely many solutions you'd get an identity (e.g. 0 = 0), and a true equality would give a specific solution.