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RD Sharma Solutions (Ex 2.3): Linear Equation in One Variable | Mathematics (Maths) Class 8 PDF Download

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FAQs on RD Sharma Solutions (Ex 2.3): Linear Equation in One Variable - Mathematics (Maths) Class 8

1. What is a linear equation in one variable?
Ans. A linear equation in one variable is an equation that can be written in the form ax + b = 0, where "a" and "b" are constants, and "x" is the variable. It represents a straight line on a graph and has only one solution.
2. How do you solve a linear equation in one variable?
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. You can do this by applying inverse operations to both sides of the equation, such as addition, subtraction, multiplication, and division. By simplifying the equation step by step, you can find the value of the variable.
3. Can a linear equation in one variable have more than one solution?
Ans. No, a linear equation in one variable can have either one solution, no solution, or infinite solutions. If the equation simplifies to a true statement, such as 3 = 3, it has infinite solutions. If it simplifies to a false statement, such as 2 = 5, it has no solution. Otherwise, it has one unique solution.
4. What is the importance of linear equations in one variable?
Ans. Linear equations in one variable are fundamental in algebra and have various applications in real-life problem-solving. They help in solving problems related to simple interest, distance-speed-time calculations, cost-profit analysis, and many other scenarios where a relationship between variables can be represented by a straight line.
5. Can a linear equation in one variable have a fraction as its solution?
Ans. Yes, a linear equation in one variable can have a fraction as its solution. In fact, fractions are quite common as solutions to linear equations. When solving the equation, if fractions appear during the simplification process, they are considered valid solutions as long as they satisfy the original equation.
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