Solve graphically the system of linear equations: x + 3y = 11, 3x + 2y = 12
Answers
EXPLANATION.
Graphically the system of linear equations.
⇒ x + 3y = 11. - - - - - (1).
⇒ 3x + 2y = 12. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ x + 3y = 11. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ (0) + 3y = 11.
⇒ 3y = 11.
⇒ y = 11/3.
⇒ y = 3.66.
Their Co-ordinates = (0,3.66).
Put the value of y = 0 in the equation, we get.
⇒ x + 3(0) = 11.
⇒ x = 11.
Their Co-ordinates = (11,0).
From equation (2), we get.
⇒ 3x + 2y = 12. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 3(0) + 2y = 12.
⇒ 2y = 12.
⇒ y = 6.
Their Co-ordinates = (0,6).
Put the values of y = 0 in the equation, we get.
⇒ 3x + 2(0) = 12.
⇒ 3x = 12.
⇒ x = 4.
Their Co-ordinates = (4,0).
Both curves intersects at a point = (2,3).
Answer:
Points on 1st: (0, 3 1/3) ; (11,0)
Points on 2nd: (0,4) ; (4,0)
Step-by-step explanation:
x+3y=11
3x+2y=12
or:-
y = (-x+11)/3
y = (-3x +12)/2
Plotting 2 points for each equation and draw a line thru them for each:
Points on 1st: (0, 3 1/3) ; (11,0)
Points on 2nd: (0,4) ; (4,0)
