Question

The pair of equations $y=0$ and $y=-7$ has:

• A. one solution
• B. two solutions
• C. Infinitely many solutions
• D. no solution

Answer 1

The correct option is D

no solution

Hint: lines that never intersect with each other.

Concept Used: parallel lines.

Finding if the lines are parallel,

Since the two equations are of the form $y=a$ and $y=b$, then they will never intersect with $x-axis$ because they have no slopes. $y=0$ is the line that is on the $x-axis$ and $y=-7$ is the line that is parallel to $x-axis$ and $7$ units away from it. This means both the equations will never intersect so they will have no solutions.

Hence, (d) is the correct option.