Question

represent the following pair of linear equations graphically 2x-y=4 , 4x-2y=6​

Answer 1

EXPLANATION.

Solve equation graphically.

⇒ 2x - y = 4. - - - - - (1).

⇒ 4x - 2y = 6. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 2x - y = 4. - - - - - (1).

Put the value of x = 0 in the equation, we get.

⇒ 2(0) - y = 4.

⇒ - y = 4.

⇒ y = - 4.

Their Co-ordinates = (0,-4).

Put the values of y = 0 in the equation, we get.

⇒ 2x - (0) = 4.

⇒ 2x = 4.

⇒ x = 2.

Their Co-ordinates = (2,0).

From equation (2), we get.

⇒ 4x - 2y = 6. - - - - - (2).

Put the values of x = 0 in the equation, we get.

⇒ 4(0) - 2y = 6.

⇒ - 2y = 6.

⇒ - y = 3.

⇒ y = - 3.

Their Co-ordinates = (0,-3).

Put the values of y = 0 in the equation, we get.

⇒ 4x - 2(0) = 6.

⇒ 4x = 6.

⇒ 2x = 3.

⇒ x = 1.5.

Their Co-ordinates = (1.5,0).

Both lines are parallel to each other and never intersects each other.

Answer 2

Answer:

Answer:

${ \boxed{\mathbb{\red{</p><p>\tt{\implies}lines \: are parallel, \: hence \: Inconsistent, \: have no \: solution.}}}}$

Step-by-step explanation:

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

${ \boxed{\mathbb{\blue{</p><p>\tt{\implies}Step 1: Draw the line from the given equation}}}}$

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)

Step-by-step explanation:

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hope it helpful for you