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Class 9
Maths :-NCERT Solutions - Linear Equations In two Variables.

Page No 70:
Question 2:
Write four solutions for each of the following equations:
(i) 2x + y = 7 (ii) πx + y = 9 (iii) x = 4y

Answer:


(i) 2x + y = 7
For x = 0,
2(0) + = 7
⇒ = 7
Therefore, (0, 7) is a solution of this equation.
For = 1,
2(1) + y = 7
⇒ y = 5
Therefore, (1, 5) is a solution of this equation.
For x = −1,
2(−1) + y = 7
⇒ y = 9
Therefore, (−1, 9) is a solution of this equation.
For = 2,
2(2) + y = 7
y = 3
Therefore, (2, 3) is a solution of this equation.
(ii) πx + y = 9
For x = 0,
π(0) + = 9
⇒ = 9
Therefore, (0, 9) is a solution of this equation.
For x = 1,
π(1) + = 9
= 9 − π
Therefore, (1, 9 − π) is a solution of this equation.
For x = 2,
π(2) + = 9
⇒ = 9 − 2π
Therefore, (2, 9 −2π) is a solution of this equation.
For x = −1,
π(−1) + = 9
⇒ = 9 + π
⇒ (−1, 9 + π) is a solution of this equation.
(iii) x = 4y
For x = 0,
0 = 4y
⇒ = 0
Therefore, (0, 0) is a solution of this equation.
For = 1,
x = 4(1) = 4
Therefore, (4, 1) is a solution of this equation.
For y = −1,
x = 4(−1)
⇒ x = −4
Therefore, (−4, −1) is a solution of this equation.
For x = 2,
2 = 4y

Therefore, is a solution of this equation.