English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Solve graphically x = −3, y = 3 - Mathematics

Advertisements
Advertisements

Question

Solve graphically

x = −3, y = 3

Graph

Solution

x = −3

x −3 −3 −3 −3
y −3 −2 −2 3

Plot the points (−3, −3), (−3, −2), (−3, 2) and (−3, 3) in the graph sheet

y = 3

x −3 −1 0 2
y 3 3 3 3

Plot the points (−3, 3), (−1, 3), (0, 3) and (2, 3) in the same graph sheet

The two lines l1 and l2 intersect at (−3, 3)

∴ The solution set is (−3, 3)

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.10 [Page 124]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 3 Algebra
Exercise 3.10 | Q 2. (vi) | Page 124

RELATED QUESTIONS

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).


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.


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).


The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect?


Solve the following equations graphically :
2x + 4y = 7
3x + 8y = 10


Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1


Solve the following system of linear equations graphically :
4x - 5y - 20 = 0
3x + 3y - 15 = 0
Determine the vertices of the triangle formed by the lines, represented by the above equations and the y-axis.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×