Draw the graph
X+3y=6
2x-3y=12
Answers
EXPLANATION.
Graph of the linear equation.
⇒ x + 3y = 6. - - - - - (1).
⇒ 2x - 3y = 12. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ x + 3y = 6. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ (0) + 3y = 6.
⇒ 3y = 6.
⇒ y = 2.
Their Co-ordinates = (0,2).
Put the value of y = 0 in the equation, we get.
⇒ x + 3(0) = 6.
⇒ x = 6.
Their Co-ordinates = (6,0).
From equation (2), we get.
⇒ 2x - 3y = 12. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) - 3y = 12.
⇒ - 3y = 12.
⇒ y = - 4.
Their Co-ordinates = (0,-4).
Put the value of y = 0 in the equation, we get.
⇒ 2x - 3(0) = 12.
⇒ 2x = 12.
⇒ x = 6.
Their Co-ordinates = (6,0).
Both curves intersects at a point = (6,0).
Step-by-step explanation:
1. Putting x=0
0+3y=6
3y=6
y=2
Their co ordinate=(0,2)
Putting y=0
x+0=6
x=6
Their co ordinator=(6,0)
2. Putting x=0
0-3y=12
y=-4
Their co ordinate=(0,-4)
Putting y=0
2x-0=12
2x=12
x=6
Their coodinate=(6,0)
