Question

check whether pairs of equation x+3y=6,2x-3y=12 is consistent if so alive them with graphically ​

Answer 1

Solution

We have

⇒x + 3y = 6    (i)

⇒2x - 3y = 12     (ii)

For Graphically Representation

Take Equation

⇒x + 3y = 6       (i)

When x = 0

⇒0 + 3y = 6

⇒y = 6/3

⇒y = 2

When y = 0

⇒x + 3(0) = 6

⇒x = 6

We get ( 6 . 2 )

Now take

⇒2x - 3y = 12

When x = 0

⇒2(0) - 3y = 12

⇒0 - 3y = 12

⇒-3y = 12

⇒y = -12/3

⇒y = -4

When y = 0

⇒2x -3(0) = 12

⇒2x = 12

⇒x = 6

We get (6,-4)