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?

Answer 1

He can conclude that the system of equations is inconsistent, i.e. it has no solution.

Explanation:

We know that we get a no solution when we get a expression which is always false.

Here,

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.

which is a false identity.

since 7 can never be equal to 9.

Hence, the system of equations is inconsistent , it has no solution.

Answer 2

He can conclude that the system of equations has no solution since one equation in it always results with false equivalency.

Hope this helps.

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