find the solution to the given pair of linear equations by graphical method.
x+y=5
2x-y=4
Answers
EXPLANATION.
Graph of the pair of linear equation.
⇒ x + y = 5. - - - - - (1).
⇒ 2x - y = 4. - - - - - (2).
From equation (1), we get.
⇒ x + y = 5. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ (0) + y = 5.
⇒ y = 5.
Their Co-ordinates = (0,5).
Put the value of y = 0 in equation, we get.
⇒ x + (0) = 5.
⇒ x = 5.
Their Co-ordinates = (5,0).
From equation (2), we get.
⇒ 2x - y = 4. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - y = 4.
⇒ - y = 4.
⇒ y = -4.
Their Co-ordinates = (0,-4).
Put the value of y = 0 in equation, we get.
⇒ 2x - (0) = 4.
⇒ 2x = 4.
⇒ x = 2.
Their Co-ordinates = (2,0).
Both curves intersects at a point = (3,2).
Answer:
Step-by-step explanation:
EXPLANATION.
Graph of the pair of linear equation.
⇒ x + y = 5. - - - - - (1).
⇒ 2x - y = 4. - - - - - (2).
From equation (1), we get.
⇒ x + y = 5. - - - - - (1).
Put the value of x = 0 in equation, we get.
⇒ (0) + y = 5.
⇒ y = 5.
Their Co-ordinates = (0,5).
Put the value of y = 0 in equation, we get.
⇒ x + (0) = 5.
⇒ x = 5.
Their Co-ordinates = (5,0).
From equation (2), we get.
⇒ 2x - y = 4. - - - - - (2).
Put the value of x = 0 in equation, we get.
⇒ 2(0) - y = 4.
⇒ - y = 4.
⇒ y = -4.
Their Co-ordinates = (0,-4).
Put the value of y = 0 in equation, we get.
⇒ 2x - (0) = 4.
⇒ 2x = 4.
⇒ x = 2.
Their Co-ordinates = (2,0).
Both curves intersects at a point = (3,2)