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Linear Equations in Two Variables Video Lecture | Mathematics for EmSAT Achieve

141 videos|213 docs|254 tests

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FAQs on Linear Equations in Two Variables Video Lecture - Mathematics for EmSAT Achieve

1. What are linear equations in two variables?
Ans. Linear equations in two variables are algebraic equations that involve two variables, typically represented as x and y, and the degree of both variables is 1. These equations can be graphically represented as straight lines on a coordinate plane.
2. How do you solve a linear equation in two variables?
Ans. To solve a linear equation in two variables, you need to find the values of the variables that satisfy the equation. This can be done by using various methods such as substitution, elimination, or graphing. The goal is to simplify the equation and isolate one variable to determine its value, and then substitute it back into the equation to find the value of the other variable.
3. What is the importance of linear equations in two variables?
Ans. Linear equations in two variables are important in various fields like mathematics, physics, economics, and engineering. They help in representing and analyzing relationships between two variables, enabling us to make predictions, solve real-life problems, and understand the behavior of systems and processes.
4. How can linear equations in two variables be graphically represented?
Ans. Linear equations in two variables can be graphically represented as straight lines on a coordinate plane. The x-axis represents one variable, and the y-axis represents the other variable. The equation is plotted as points on the graph, and the line connecting these points represents the solutions to the equation.
5. What are some real-life applications of linear equations in two variables?
Ans. Linear equations in two variables have several real-life applications. They can be used to analyze the relationship between variables like cost and quantity, distance and time, temperature and pressure, and more. These equations help in making predictions, optimizing resources, planning budgets, and solving problems in various fields such as business, engineering, and science.
141 videos|213 docs|254 tests
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