the pair of equations x =0 and x=5 has
Answers
Step-by-step explanation:
First of all, you need to understand what a solution is.
In the context of the given question, it simply means the point of intersection of the two given curves (in this case, the curves are x=0 and x=5).
The number of solution simply means the number of such points.
There are two ways (known to me at the time of writing this answer) in which you can approach the solution (the answer indeed, not the one mentioned above!).
First method (graphical and recommended):
You draw the curves in a graph paper and simply count the number of points of intersection (that is the answer you need).
Observe that the given equations are linear and and so the graph is a straight line
Equations of the form ax + by + c = 0 represents a straight line.
You can see that you just keep x coordinate as c( =0 in first case and c= 5 in latter) as there is no condition on the y coordinate, it can take any value. So, on graph paper you put a dot on every point with x-coordinate as c and you cover every y -coordinate. You end up getting infinite number of dots with given conditions satisfied. You guessed it right! that is a line. So you draw it yourself, and you will see that the two lines are parallel and will not intersect each other at any point, so the number of solutions is zero.
Second method ( analytical ):
Let the solution exist and let the solution be (x, y) =(a,b).
As it satisfies both the given equations,
From the first given equation x=0→a=0
From the second given equation x=5→a=5
As a cannot be simultaneously both 0 and 5, our assumption that a solution exist is wrong and hence no solution for given system of equation exist. Hence the number of solutions for the given pair of equations is zero.
I hope that you got the answer and with the help of some knowledge you just got, you will be able to solve any related question…