Question

Check whether the pair of equations 2x - y = 4 and 4x – 2y = 6 are consistent or inconsistent graphically find the solution if the equation are consistent​

Answer 1

Answer:

lines are parallel,hence Inconsistent,have no solution.

Step-by-step explanation:

To check whether the pair of equations 2x - y = 4 and 4x – 2y = 6 are consistent or inconsistent graphically.

Step 1: Draw the line from the given equation

2x-y=4

=> put x= 0

y=-4

(0,-4)

=> put y= 0

2x=4

x=2

(2,0)

*Red line in the graph attached

By the same way

4x – 2y = 6

=> put x= 0

y=-3

(0,-3)

=> put y= 0

4x=6

x=3/2

(3/2,0)

*Blue line in the graph attached

It is clearly shown that given lines are parallel,hence Inconsistent,have no solution.

Hope it helps you.

Answer 2

Answer:

the given lines are parallel.hence they are inconsistent..no solutions