Answered

Join IDNLearn.com and start getting the answers you've been searching for. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.

4. The pair of equations [tex]$y = 0$[/tex] and [tex]$y = -7$[/tex] has:

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

[NCERT Exemplar]

Sagot :

GinnyAnsweridn
Let's analyze the pair of equations [tex]\( y = 0 \)[/tex] and [tex]\( y = -7 \)[/tex].

1. Understanding the Equations:
- The equation [tex]\( y = 0 \)[/tex] represents a horizontal line that intersects the y-axis at 0 (the x-axis itself).
- The equation [tex]\( y = -7 \)[/tex] represents a horizontal line that intersects the y-axis at -7.

2. Graphical Representation:
- On a Cartesian plane, [tex]\( y = 0 \)[/tex] is a horizontal line passing through the origin.
- [tex]\( y = -7 \)[/tex] is another horizontal line parallel to [tex]\( y = 0 \)[/tex] but located 7 units below the x-axis.

3. Checking for Intersection:
- Since both lines are horizontal and parallel, they will never intersect.
- Parallel lines have no common points.

4. Conclusion:
- Because the lines [tex]\( y = 0 \)[/tex] and [tex]\( y = -7 \)[/tex] do not intersect, there are no points that satisfy both equations simultaneously.
- Therefore, the pair of equations has no solutions.

Given the analysis above, the correct answer is:
(d) no solution
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.