Find the best solution of ncert class 9th chapter linear equations in two variables .How i solve the best solution of exercise 4.2 question number 2(1) . Also find the easiest and simplest method of this question.Write four solutions for each of the following equations: (i) 2x+y = 7 .
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Solution:
To find the four solutions of 2x+y =7 we substitute different values for x and y
Let x = 0
Then,
2x+y = 7
(20)+y = 7
y = 7
(0,7)
Let x = 1
Then,
2x+y = 7
(2×1)+y = 7
2+y = 7
y = 7-2
y = 5
(1,5)
Let y = 1
Then,
2x+y = 7
(2x)+1 = 7
2x = 7-1
2x = 6
x = 6/2
x = 3
(3,1)
Let x = 2
Then,
2x+y = 7
(2×2)+y = 7
4+y = 7
y =7-4
y = 3
(2,3)
The solutions are (0, 7), (1,5), (3,1), (2,3)