Class 8 Exam > Class 8 Videos > NCERT Solutions: Linear Equations in One Variable - Exercise 2.2 (Ques 4-7)
NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.2 (Ques 4-7)
FAQs on NCERT Solutions for Class 7 Maths Chapter 2 - Linear Equations in One Variable - Exercise 2.2 (Ques 4-7)
| 1. What are linear equations in one variable? |  |
Ans. Linear equations in one variable are algebraic equations that involve only one variable raised to the power of one. These equations can be represented in the form of ax + b = 0, where a and b are constants and x is the variable.
| 2. How do you solve linear equations in one variable? | |
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. This can be done by performing the same operation on both sides of the equation to maintain equality. The steps involved include simplifying the equation, collecting like terms, and performing operations such as addition, subtraction, multiplication, and division to solve for 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 or no solution. If the equation has a unique solution, it means that there is only one value of the variable that satisfies the equation. If the equation has no solution, it means that there is no value of the variable that satisfies the equation.
| 4. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are important in various fields such as mathematics, physics, economics, and engineering. They provide a fundamental tool for solving real-life problems involving unknown quantities. These equations help in modeling and analyzing situations that can be represented by a straight line, enabling us to make predictions and solve practical problems.
| 5. Can linear equations in one variable be represented graphically? | |
Ans. Yes, linear equations in one variable can be represented graphically. A linear equation in the form of y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope, and c is the y-intercept, represents a straight line on a coordinate plane. By plotting the points on the graph, we can visualize the relationship between the variables and interpret the solution to the equation as the point of intersection between the line and the x-axis.
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Nov 22, 2024 Last updated |
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