EmSAT Achieve Exam > EmSAT Achieve Videos > Mathematics for EmSAT Achieve > One-Shot: Linear Equations in One Variable
One-Shot: Linear Equations in One Variable Video Lecture | Mathematics for EmSAT Achieve
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FAQs on One-Shot: Linear Equations in One Variable Video Lecture - Mathematics for EmSAT Achieve
| 1. What is a linear equation in one variable? |  |
Ans. A linear equation in one variable is an algebraic 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 coordinate plane 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, follow these steps:
1. Simplify the equation by combining like terms.
2. Isolate the variable term on one side of the equation.
3. Perform the necessary operations to solve for the variable.
4. Check the solution by substituting it back into the original equation.
| 3. Can a linear equation in one variable have more than one solution? | |
Ans. No, a linear equation in one variable can have at most one solution. This is because a linear equation represents a straight line, and a line can intersect the x-axis (where the solution lies) at most once.
| 4. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are important in various real-life situations. They help in solving problems related to distance, speed, time, cost, and many other quantitative aspects. They also serve as a foundation for understanding more complex mathematical concepts and equations.
| 5. Can a linear equation in one variable have no solution? | |
Ans. Yes, a linear equation in one variable can have no solution. This occurs when the equation represents parallel lines on a coordinate plane that never intersect. In such cases, there is no value of the variable that satisfies the equation, and it is said to have no solution.
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Dec 24, 2024 Last updated |
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