Question

Draw graph for 4x-2y=6, 2x-y=3. find whether they are
Consistent /inconsistent.
if Consistent
find solutions graphically.​

Answer 1

Step-by-step explanation:

lines are parallel,hence Inconsistent,have no solution.

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.

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