R d sharma solutions mathematics class 9 Solutions for Chapter 13 linear equations in two variables

Exercises in Chapter 13 linear equations in two variables Grade 9

Linear Equations In Two Variables Exercise 13.1

Linear Equations In Two Variables Exercise 13.2

Linear Equations In Two Variables Exercise 13.3

Linear Equations In Two Variables Exercise 13.4

Questions in Linear Equations In Two Variables Exercise 13.1

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

(i) -2x + 3y = 12

(ii) x – y/2 – 5 = 0

(iii) 2x + 3y = 9.35

(iv) 3x = -7y

(v) 2x + 3 = 0

(vi) y – 5 = 0

(vii) 4 = 3x

(viii) y = x/2

The cost of ball pen is Rs 5 less than half of the cost of fountain pen. Write this statement as a linear equation in two variables

Questions in Linear Equations In Two Variables Exercise 13.2

If x = -1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k.

If x = 2 α + 1 and y = α -1 is a solution of the equation 2x – 3y + 5 = 0, find the value of α.

Questions in Linear Equations In Two Variables Exercise 13.3

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y. Write the linear equation representing the above information.

A number is 27 more than the number obtained by reversing its digits. lf its unit’s and ten’s digit are x and y respectively, write the linear equation representing the statement.

The Sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number are x and y respectively, then write the linear equation representing the above statement.

From the choices given below, choose the equations whose graph is given in figure. (i) y = x

(ii) x + y = 0

(iii) y = 2x

(iv) 2 + 3y = 7x