slove graphical x+y=5 and 3x+2y=12
Answers
EXPLANATION.
Graphically,
(1) = x + y = 5.
(2) = 3x + 2y = 12.
As we know that,
From equation (1), we get.
(1) = x + y = 5.
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.
(2) = 3x + 2y = 12.
Put the value of x = 0 in equation, we get.
⇒ 3(0) + 2y = 12.
⇒ 2y = 12.
⇒ y = 6.
Their Co-ordinates = (0,6).
Put the value of y = 0 in equation, we get.
⇒ 3x + 2(0) = 12.
⇒ 3x = 12.
⇒ x = 4.
Their Co-ordinates = (4,0).
Both curves meet at a point = (2,3).
Answer:
See the attached photo!
Step-by-step explanation:
x+y = 5
3x+2y = 12
For graphical method, we need to substitute the value of first equation:
x+y = 5
If x=1, y= 4
If x = 2, y = 3
If x = 3, y= 2
So, as we are going to plot the points in graph, x and y should be written as:
(1,4) , (2,3) , (3,2)
Similarly, on taking 2nd equation:
3x+2y = 12
If x = 2, y = 3
If x= 4, y = 0
If x = 6, y= -3
So, as we are going to plot the points in graph, x and y should be written as:
(2,3) , (4,0) , (6,-3)
As you can see, the point of intersection takes place at (2,3)
