Today i am solving the important question of ncert class 9th chapter linear equation in two variables . How i solve this exercise 4.2 question number 2(2) please help me to solve the important question in a easiest way.Write four solutions for each of the following equations:(ii) πx+y = 9.
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Solution:
To find the four solutions of πx+y = 9 we substitute different values for x and y
Let x = 0
Then,
πx+y = 9
(π0)+y = 9
y = 9
(0,9)
Let x = 1
Then,
πx +y = 9
(π×1)+y = 9
π+y = 9
y = 9-
(1, 9-)
Let y = 0
Then,
πx+y = 9
πx+0 = 9
πx = 9
x = 9/
(9/,0)
Let x = -1
Then,
πx + y = 9
(×-1) + y = 9
-+y = 9
y = 9+π
(-1,9+)
The solutions are (0,9), (1,9-), (9/,0), (-1,9+)