Question

How many Solutions does the pair of
equations will have 2x-y=4,4x-2y=6​

Answer 1

there are infinite number of pair are formed

Answer 2

Answer:

0 , has no solution.

Step-by-step explanation:

To find the solution on the pair of equations 2x - y = 4 and 4x – 2y = 6

Steps : (Use graph)

1. Draw the line from the given equation

2x-y=4

Substitute  x= 0, we get

2(0)-y=4

0-y=4

y=-4

So the points are (0,-4)

Substitute y= 0, we get,

2x-0=4

2x=4

x=4/2

x=2

So the points are (2,0)

2. Draw the line from the given equation

4x – 2y = 6

Substitute  x= 0, we get

4(0)-2y=6

0-2y=6

Changing sings, 2y=-6

y=-6/3

y=-3

So the points are (0,-3)

Substitute  y= 0, we get

4x-2(0)=6

4x=6

x=3/2

So  the points are (3/2,0).

When you compare both the lines on the graph, we can see that the given lines are parallel. Therefore it is Inconsistent and has no solution.

Voila :)