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NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.5 (Ques 1-10)

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FAQs on NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.5 (Ques 1-10)

1. What are linear equations in one variable?
Ans. Linear equations in one variable are mathematical equations that involve only one variable, typically represented by the letter 'x', and have a degree of 1. These equations can be expressed in the form 'ax + b = 0', where 'a' and 'b' are constants.
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 on one side of the equation. We can do this by performing various operations such as addition, subtraction, multiplication, and division on both sides of the equation to simplify it step by step until we 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 important in various real-life situations and mathematical applications. It helps in finding unknown quantities, determining relationships between variables, and solving problems involving proportions, rates, and ratios. It is also a fundamental concept in algebra.
4. Can linear equations in one variable have more than one solution?
Ans. No, linear equations in one variable can have only one solution. This means that there is only one value of the variable that satisfies the equation. If there are multiple values that satisfy the equation, then it is not a linear equation in one variable.
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 x-axis represents the variable, and the y-axis represents the value of the equation. The solution to the equation is the x-coordinate of the point where the line intersects the x-axis.
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