Advertisements
Advertisements
प्रश्न
Solve the following equations graphically :
x + 3y = 8
3x = 2 + 2y
Advertisements
उत्तर
x + 3y = 8
3x = 2 + 2y
x + 3y = 8 ________(1)
3x = 2 + 2y _______(2)
Now, x + 3y = 8
⇒ y = `(8 - x)/(3)`
Corresponding values of x and y can be tabulated as :
| x | -1 | 2 | 5 |
| y | 3 | 2 | 1 |
Plotting points (-1, 3), (2, 2), (5, 1) and joiniing them, we get a line I, which is the graph of equation (1).
Again, 3x = 2 + 2y
⇒ x = `(2x + 2y)/(3)`
Corresponding values of x and y can be tabulated as :
| x | 2 | 4 | 0 |
| y | 2 | 5 | -1 |
Plotting points (2, 2), (4, 5), (0, -1) and joining them, we get a line I2 which is the graph of equation (2).
The two lines I2 and I2 intersect at the point (2, 2). Hence, x = 2, y = 2 is the unique solution of the given equation.
APPEARS IN
संबंधित प्रश्न
The sides of a triangle are given by the equations y - 2 = 0; y + 1 = 3 (x - 2) and x + 2y = 0.
Find, graphically :
(i) the area of a triangle;
(ii) the coordinates of the vertices of the triangle.
The cost of manufacturing x articles is Rs. (50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
No. of articles to be manufactured and sold to break even (no profit and no loss).
Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).
Solve the following equations graphically :
2x - y = 9
5x + 2y = 27
Solve the following equations graphically :
x = 4
`(3x)/(3) - y = 5`
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
Find graphically the vertices of the triangle, whose sides are given by 3y = x + 18, x + 7y = 22 and y + 3x = 26.
Draw the graph of the following equations :
3x + 2y + 6 = 0
3x + 8y - 12 = 0
Also, determine the co-ordinates of the vertices of the triangle formed by these lines and x-axis.
Solve the following system of equations graphically:
6x - 3y + 2 = 7x + 1
5x + 1 = 4x - y + 2
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve graphically
x + y = 7, x – y = 3
