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

Page No 68:
Question 2:
Express the following linear equations in the form ax + by + c = 0 and indicate the values of ab, c in each case:
(i)  (ii)  (iii) − 2x + 3 y = 6
(iv) x = 3y (v) 2x = − 5y (vi) 3x + 2 = 0
(vii) y − 2 = 0 (viii) 5 = 2x

Page No 70:
Question 1:
Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions

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

Page No 70:
Question 3:
Check which of the following are solutions of the equation x − 2= 4 and which are not:
(i) (0, 2 (ii) (2, 0) (iii) (4, 0)
(iv)  (v) (1, 1)

Page No 74:
Question 1:
Draw the graph of each of the following linear equations in two variables:
(i) (ii) (iii) y = 3(iv) 3 = 2x + y

Page No 74:
Question 2:
Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

Page No 74:
Question 4:
The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.

Page No 75:
Question 8:
In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celsius?
(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?
(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Page No 77:
Question 1:
Give the geometric representation of y = 3 as an equation
(I) in one variable
(II) in two variables

Page No 77:
Question 2:
Give the geometric representations of 2x + 9 = 0 as an equation
(1) in one variable
(2) in two variables