Question

The pair of equations y = 0 and y = −5 has

(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) no solution

Answer 1

The correct option is (d).

Clearly, y = 0 is the x-axis.
And, y = −5 is the line parallel to the x-axis, which is below the x-axis at a distance of 5 units.
The two lines do not meet anywhere.
Hence, no solution exists.