If the system has infinite solutions, it means that the two equations are not independent, but rather one equation is a multiple of the other. In other words, the second equation must be a multiple of y = 7x + 8.
One possible equation that completes the system is:
14y = 98x + 112
To check that this equation works, we can substitute y = 7x + 8 into the equation:
14(7x + 8) = 98x + 112
98x + 112 = 98x + 112
As we can see, the equation is true for any value of x, which means that it is satisfied for any value of y that corresponds to y = 7x + 8.
Therefore, the system of equations that has y = 7x + 8 as one of its equations and has infinite solutions is:
y = 7x + 8
14y = 98x + 112