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R S AGGARWAL AND V AGGARWAL Solutions Mathematics Class 10 Chapter 3 Linear equations in two variables

R S AGGARWAL AND V AGGARWAL Solutions for Class 10 Maths Chapter 3 – Linear equations in two variables

Chapter 3 – Linear equations in two variables Exercise Ex. 3A

Question 1

Solve each of the following systems of equations graphically:

2x + 3y = 2

x – 2y = 8

Solution 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two VariablesR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two VariablesR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

 

 

Question 2

Solve each of the following systems of equations graphically:

3x + 2y = 4

2x – 3y = 7

Solution 2
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
Question 3

Solve each of the following systems of equations graphically:

2x + 3y = 8

x – 2y + 3 = 0

Solution 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 4

Solve each of the following systems of equations graphically:

2x – 5y + 4 = 0

2x + y – 8 = 0

Solution 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 5

Solve
each of the following systems of equations graphically:

3x
+ 2y = 12, 5x – 2y = 4.

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Since the two graphs intersect at (2, 3),

x = 2 and y = 3.

Question 6

Solve each of the following systems of equations graphically:

3x + y + 1 = 0

2x – 3y + 8 = 0

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 7

Solve
each of the following systems of equations graphically:

2x
+ 3y + 5 = 0, 3x – 2y – 12 = 0.

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Since the two graphs intersect at (2, -3),

x = 2 and y = -3.

Question 8

Solve
each of the following systems of equations graphically:

2x
– 3y + 13 = 0, 3x – 2y + 12 = 0.

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Since the two graphs intersect at (-2, 3),

x = -2 and y = 3.

Question 9

Solve
each of the following systems of equations graphically:

2x
+ 3y – 4 = 0, 3x – y + 5 = 0.

Solution 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Since the two graphs intersect at (-1, 2),

x = -1 and y = 2.

Question 10

Solve each of the following systems of equations graphically:

x + 2y + 2 = 0

3x + 2y – 2 = 0

Solution 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables
R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 11

Solve
each of the following given systems of equations graphically and find the
vertices and area of the triangle formed by these lines and the x-axis:

x
y + 3 = 0, 2x + 3y – 4 = 0.

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 12

Solve
each of the following given systems of equations graphically and find the
vertices and area of the triangle formed by these lines and the x-axis:

2x
– 3y + 4 = 0, x + 2y – 5 = 0.

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables 

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 13

Solve the following system of linear equations graphically:

4x – 3y + 4 = 0, 4x + 3y – 20 = 0

Find the area of the region bounded by these lines and the x-axis.

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables

Question 14

Solve the following system of linear equation graphically:

x – y + 1 = 0, 3x + 2y – 12 = 0

Calculate the area bounded by these lines and x-axis.

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Linear Equations In Two Variables