4. The pair of equations \(y = 0\) and \(y = -7\) has
one solution
two solutions
infinitely many solutions
no solution
Step 1: Consider the first equation \(y = 0\). This represents the x-axis, a horizontal line through the origin.
Step 2: The second equation is \(y = -7\). This represents another horizontal line, parallel to the x-axis, but 7 units below it.
Step 3: Two horizontal lines that are distinct will never meet, because they are parallel.
Conclusion: Since the lines do not intersect at any point, the pair of equations has no solution.