(b) Solve the following simultaneous lincar equations by graphical method
2r + 3y = 8
x + 4y = 9
Answers
EXPLANATION.
Solve linear equation by graphically method.
⇒ 2x + 3y = 8. - - - - - (1).
⇒ x + 4y = 9. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + 3y = 8. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + 3y = 8.
⇒ 3y = 8.
⇒ y = 8/3.
⇒ y = 2.66.
Their Co-ordinates = (0,2.66).
Put the value of y = 0 in the equation, we get.
⇒ 2x + 3(0) = 8.
⇒ 2x = 8.
⇒ x = 4.
Their Co-ordinates = (4,0).
From equation (2), we get.
⇒ x + 4y = 9. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ (0) + 4y = 9.
⇒ 4y = 9.
⇒ y = 9/4.
⇒ y = 2.25.
Their Co-ordinates = (0,2.25).
Put the value of y = 0 in the equation, we get.
⇒ x + 4(0) = 9.
⇒ x = 9.
Their Co-ordinates = (9,0).
Both curves intersects at a point = (1,2).
Correct QUestion :-
Solve the following simultaneous lincar equations by graphical method
2x + 3y = 8
x + 4y = 9
To Find :-
x and y
Solution :-
In 1
2x + 3y = 8
Putting x = 0
2(0) + 3y = 8
0 + 3y = 8
3y = 8
y = 8/3
Coordinates = (0,8/3)
Putting y = 0
2x + 3(0) = 8
2x + 0 = 8
2x = 8
x = 8/2
x = 4
Coordinates = (4,0)
In 2
x + 4y = 9
Putting x = 0
0 + 4y = 9
4y = 9
y = 9/4
Coordinates = (0,9/4)
Putting y = 0
x + 4(0) = 9
x + 0 = 9
x = 9
Coordinates = (9,0)
Intersection point = 1,2