Question

Show graphically that each one of the system of equations has infinitely many solutions x-2y=5 and 3x-6y= 15

Answer 1

When the two lines are drawn on the same graph, it can be seen that one is lying on top of the other.

The blue line is for x - 2y = 5

The red line is for 3x - 6y = 15

Since the graphs give solutions at the points of intersection of two lines, we can say that these two lines are intersecting at infinite number of points.

therefore;

x - 2y = 5

and 

3x - 6y = 15

have infinite number of solutions.

Answer 2

Answer:

Step-by-step explanation:

When the two lines are drawn on the same graph, it can be seen that one is lying on top of the other.

The blue line is for x - 2y = 5

The red line is for 3x - 6y = 15

Since the graphs give solutions at the points of intersection of two lines, we can say that these two lines are intersecting at infinite number of points.

therefore;

x - 2y = 5

and

3x - 6y = 15

have infinite number of solutions.