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NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.6 (Ques 1-7)

FAQs on NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.6 (Ques 1-7)

1. What are linear equations in one variable?

Ans. Linear equations in one variable are algebraic equations that involve only one variable, typically represented by the letter "x", and have a degree of 1. These equations can be solved to find the value of the variable that satisfies the equation.

2. How do we solve linear equations in one variable?

Ans. To solve linear equations in one variable, we use various methods such as the method of balancing, cross-multiplication, or by isolating the variable on one side of the equation. We perform a series of arithmetic operations to simplify the equation and find the value of the variable.

3. What is the importance of solving linear equations in one variable?

Ans. Solving linear equations in one variable is essential in various real-life situations. It helps in determining unknown quantities, finding the value of variables in mathematical problems, and solving practical problems related to distance, time, speed, cost, etc. It is also fundamental in higher mathematics and serves as a foundation for solving more complex equations.

4. Can linear equations in one variable have multiple solutions?

Ans. No, linear equations in one variable typically have only one solution. This means that there is only one value of the variable that satisfies the equation. However, in some cases, an equation may be true for all values of the variable, making it an identity rather than an equation with a specific solution.

5. How can linear equations in one variable be represented graphically?

Ans. Linear equations in one variable can be represented graphically as straight lines on a coordinate plane. The variable is usually plotted on the x-axis, and the equation is represented by the line on the graph. The point where the line intersects the x-axis represents the solution to the equation.

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Sep 23, 2025 Last updated

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