# Extra Questions for Class 10 Maths Chapter 3 Linear Equations Based on Graphical Method of Solving Linear Equations

Home Â» CBSE Class 10 Maths Â» Extra Questions for Class 10 Maths Â» Extra Questions for Class 10 Maths Chapter 3 Linear Equations Based on Graphical Method of Solving Linear Equations

Graphical Method of Finding Solution of a Pair of Linear Equations

To solve the pair of linear equation proceed as below.

Step 1: Draw a graph for each linear equation.

Step 2: Find the coordinate of the point of intersection of the two drawn lines.

Step 3: The coordinates of the point of intersection of the lines are the solutions of given linear equations.

>> If the lines are intersecting.

Intersecting lines have one common point. So, the pair of linear equation will have one solution.

>> If the lines are parallel.

Parallel lines have no common points. So, the pair of linear equations will have no solution.

>> If the lines are coincident.

Coincident lines have infinite common points. So, the pair of equations will have infinitely many solutions.

Q.1. Solve each of the following systems of equations graphically:

(i) 3x+2y=4, 2x-3y=7

(ii) 3x+y+1=0, 2x-3y+8=0

(iii) x+2y+2=0, 3x+2y-2=0

(iv) 2x+3y=8, x-2y+3=0

Q.2. Solve the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:

(i) x-y+1=0, 3x+2y-12=0

(ii) x-2y+2=0, 2x+y-6=0

Q.3. Show graphically that each of the following given systems of equations has infinitely many solutions:

(i) x – 2y = 5, 3x – 6y = 15

(ii) 2x + 3y = 6, 4x + 6y = 12

Q.4. Show graphically that the following given systems of equations is inconsistent, i.e., has no solution.

2x+3y=4, 4x+6y=12

Q.5. Solve the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the y-axis.

2x-5y+4=0, 2x+y-8=0

âœ¨Join SocialMe, a platform created by Success Router to discuss problem and share knowledge