Jamie and imani each play softball. imani has won 5 fewer games than jamie. is it possible for jamie to have won 11 games if the sum of the games imani and jamie have won together is 30?
a.) yes; jamie could have won 11 games because 2x − 5 = 30.
b.) yes; jamie could have won 11 games because 11 − 5 is less than 30.
c.) no; jamie could not have won 11 games because 2x − 5 ≠ 30.
d.) no; jamie could not have won 11 games because 2x − 11 ≠ 30.

Option C

No; Jamie could not have won 11 games because

Step-by-step explanation:

Let's call x the number of games that Jamie has won

Let's call y the number of games that Imani has won

We know that Imani has won 5 more games than Jamie.

Then we can say that:

We know that the total number of games that Jamie and Imani have won together is 30.

So

We want to know if it is possible that .

Then we substitute the first equation in the second and get the following:

Now replace in the equation and check if equality is met.

Equality is not met, then the correct answer is option C