Graphical solve for pair of linear equation in two variables
draw the graph
2x-2y=2
4x-4y=5
please answer it step by step
with graph drawn
Answers
EXPLANATION.
Graphically solve for pair of linear equation in two variable.
⇒ 2x - 2y = 2. - - - - - (1).
⇒ 4x - 4y = 5. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x - 2y = 2. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - 2y = 2.
⇒ - 2y = 2.
⇒ y = - 1.
Their Co-ordinates = (0,-1).
Put the value of y = 0 in equation, we get.
⇒ 2x - 2(0) = 2.
⇒ 2x = 2.
⇒ x = 1.
Their Co-ordinates = (1,0).
From equation (2), we get.
⇒ 4x - 4y = 5. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 4(0) - 4y = 5.
⇒ - 4y = 5.
⇒ y = - 5/4.
⇒ y = - 1.25.
Their Co-ordinates = (0,-1.25).
Put the value of y = 0 in equation, we get.
⇒ 4x - 4(0) = 5.
⇒ 4x = 5.
⇒ x = 5/4.
⇒ x = 1.25.
Their Co-ordinates = (1.25,0).
Both lines are parallel to each other and never intersect each other.
Answer:
Solution :-
2x - 2y = 2
At first put x as 0
2 × 0 - 2 × y = 2
0 - 2y = 2
-2y = 2 - 0
-2y = 2
y = -2/2
y = -1
When x = 0
Then,
coordinate = (-1,0)
At second put as 0
2 × x - 2 × 0 = 2
2x - 0 = 2
2x = 2
x = 2/2
x = 1
When y = 0
Then,
Coordinate = (0,1)
Now
4x - 4y = 5
4 × 0 - 4 × y = 5
0 - 4y = 5
-4y = 5
y = 5/-4
y = -5/4
When x = 0
Then,
Coordinate = (-5/4,0)
4 × x - 4 × 0 = 5
4x - 0 = 5
4x = 5
x = 5/4
When y = 0
Then
Coordinate = (0,5/4)