Tell whether the system has one solution, infinitely many solutions, or no solution. x = - 7y + 24 x + 7y = 32

This system has no solution.

x = - 7y + 24 can be rewritten as x = 24 - 7y

to simplify x + 7y = 32, we have to subtract 7y from both sides

x = 32 - 7y

Now, our system is as follows:

x = 24 - 7y

x = 32 - 7y