Advertisements
Advertisements
Question
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).
Advertisements
Solution
x + y = 0
y = - x;
The table of x + y = 0 is
| X | 5 | 2 | - 5 |
| Y | - 5 | - 2 | 5 |
3x - 2y = 10
⇒ x = `(10 + 2y)/(3)`
The table of 3x - 2y = 10 is
| X | 4 | 6 | 2 |
| Y | 1 | 4 | - 2 |
Now plotting the points on a graph and we get the following required graph:
The two lines intersect at (2, - 2)
∴ x = 2 and y = - 2
APPEARS IN
RELATED QUESTIONS
Solve graphically the simultaneous equations given below. Take the scale as 2 cm = 1 unit on both the axes.
x - 2y - 4 = 0
2x + y = 3
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:
The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.
Solve the following equations graphically :
x = 4
`(3x)/(3) - y = 5`
Solve the following equations graphically :
3y = 5 - x
2x = y + 3
Solve the following equations graphically :
x - 2y = 2
`x/(2) - y` = 1
Find graphically the vertices of the triangle, whose sides have the equations 2y - x = 8, 5y -x = 14 and y = 2x - 1.
Solve the following system of equations graphically
x - y + 1 = 0
4x + 3y = 24
Solve the following system of equations graphically:
2x = 23 - 3y
5x = 20 + 8y
Also, find the area of the triangle formed by these lines and x-axis in each graph.
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/2 + y/4` = 1, `x/2 + y/4` = 2
