Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units
Solution:
Given, the sum of the coordinates of the graph is 10 units.
We have to draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates are 10 units.
Let x and y be the coordinates
Given, x + y = 10
When x = 0
0 + y = 10
y = 10
When x = 3
3 + y = 10
y = 10 - 3
y = 7
When x = 5
5 + y = 10
y = 10 - 5
y = 5
When x = 10
10 + y = 10
y = 10 - 10
y = 0
Therefore, the points are (0, 10), (3, 7), (5, 5) and (10, 0).
On plotting the points on the graph we obtain the graph of the equation x + y = 10.
✦ Try This: Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 7 units.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 4
Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units
Summary:
The graphs of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units are mentioned above
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