Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution or an infinite number of solutions. 7x+7y=-21 8x+8y=-24. selecting an option will enable input for any required text boxes. If the selected option does not have any associated text boxes then no further input is required

To solve the system of linear equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Let's solve the first equation for y:
7x + 7y = -21
7y = -21 - 7x
y = (-21 - 7x) / 7
y = -3 - x

Now, substitute the expression for y in the second equation:
8x + 8y = -24
8x + 8(-3 - x) = -24
8x - 8 - 8x = -24
-8 = -24

The equation -8 = -24 is not true. Therefore, the system has no solution.