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FAQs on RD Sharma Solutions (Ex 2.4): 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. The solution to this equation is the value of 'x' that makes the equation true.
2. How do you solve a linear equation in one variable?
Ans. To solve a linear equation in one variable, we need to isolate the variable 'x' on one side of the equation. This can be done by performing various operations such as addition, subtraction, multiplication, and division on both sides of the equation. The goal is to obtain the value of 'x' that satisfies the equation.
3. Can a linear equation have more than one solution?
Ans. No, a linear equation in one variable can have at most one solution. This means that there can be either one unique solution or no solution at all. If the equation has a solution, it represents the value of 'x' that satisfies the equation. If the equation has no solution, it means that there is no value of 'x' that makes the equation true.
4. What is the importance of linear equations in real life?
Ans. Linear equations have significant importance in various real-life applications. They are used to model and solve problems related to finance, physics, engineering, and many other fields. For example, they can be used to calculate interest rates, determine the trajectory of a projectile, analyze electrical circuits, or optimize production processes in industries.
5. Can a linear equation have an infinite number of solutions?
Ans. Yes, a linear equation in one variable can have an infinite number of solutions. This occurs when the equation is true for all possible values of 'x'. In such cases, any value of 'x' will satisfy the equation. The equation itself represents an identity, and it is not possible to isolate 'x' on one side of the equation.
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