# NCERT Solutions for Class 9 Maths Chapter 4 – Linear Equations in Two Variables PDF

## Free PDF of NCERT Solutions for Class 9 Maths Chapter 4 – Linear Equations in Two Variables

includes all the questions provided in NCERT Books prepared by Mathematics expert teachers as per CBSE NCERT guidelines from wallindia. To download our free pdf of Chapter 4 – Linear Equations in Two Variables Maths NCERT Solutions for Class 9 to help you to score more marks in your board exams and as well as competitive exams.

Wallindia provides NCERT class 9 maths solution at free of cost online and it’s easily accessible in the form of PDF. Each PDF constitutes of the chapter in which exercise-wise solutions are given. It is very easy for the students to locate any answer from the exercise. All the solutions are made with the help of the best teachers and academicians. The solutions are plain easy and can be understood by anyone. The approaches and the methods used to solve the questions are also given in step by step method so that students score well in the paper. For additional conceptual clarity, diagrams and formulas are also used.

Wallindia has provided the best solutions for class 9 maths Ncert textbooks. Students can refer to these solutions which will help them in solving the previous year question papers. These NCERT maths class 9solution will help the students to study more effectively and also present the answers in the most effective way to get the highest scores.

The back-end exercise questions given in NCERT books are very important for the class 9 finals. These exercises often test the conceptual clarity and the subject knowledge of the student. NCERT Solutions will help you to understand these concepts better. On the other hand, the students who have a problem in solving maths and require assistance and guidance can also refer to class 9 Ncert Maths Solutions to clarify the concepts of the complex question. Maths is all about practice. The more you practice, the better you will be. Ncert maths class 9 pdf download can help students to solve all their problems and also save their time as everything is in one place, one click away.

### Linear Equations in Two Variables

Linear equations in two variables are a system of equations with a unique solution, no solutions, or infinitely many solutions. A linear system of equations may have 'n' number of variables. An important thing to keep in mind while solving linear equations with n number of variables is that there must be n equations to solve and determine the value of variables. The set of solutions obtained on solving these linear equations is a straight line. Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept. They are the equations of the first order. For example, y = 2x+3 and 2y = 4x + 9 are two-variable linear equations.

### What are Linear Equations in Two Variables?

The linear equations in two variables are of the highest exponent order of 1 and have one, none, or infinitely many solutions. The standard form of a two-variable linear equation is ax+ by+ c= 0 where x and y are the two variables. The solutions can also be written in ordered pairs. The graphical representation of the linear equations in two variables includes two straight lines which could be intersecting lines, parallel lines, or coincident lines.

### Forms of Linear Equations in Two Variables

A linear equation in two variables can be in different forms like standard form, intercept form and point-slope form. For example, the same equation 2x+3y=9 can be represented in each of the forms like 2x+3y-9=0 (standard form), y = (-2/3)x + 3 (slope-intercept form), and y - 5/3 = -2/3(x + (-2)) (point-slope form).