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What are Linear Equations in Two Variables? Video Lecture | The Complete SAT Course - Class 10

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FAQs on What are Linear Equations in Two Variables? Video Lecture - The Complete SAT Course - Class 10

1. What is a linear equation in two variables?
A linear equation in two variables is an equation that can be expressed in the form Ax + By = C, where A, B, and C are constants, and x and y are variables. The equation represents a straight line when graphed on a coordinate plane.
2. How do you solve a linear equation in two variables?
To solve a linear equation in two variables, you can use various methods such as substitution, elimination, or graphing. The goal is to find the values of x and y that satisfy the equation. By substituting one variable with its equivalent expression from another equation or eliminating a variable by adding or subtracting equations, you can find the solution.
3. Can a linear equation in two variables have more than one solution?
Yes, a linear equation in two variables can have more than one solution. This occurs when the equation represents a coincident or overlapping line. In such cases, all points on the line satisfy the equation, resulting in infinitely many solutions.
4. What does it mean when a linear equation in two variables has no solution?
When a linear equation in two variables has no solution, it means that the equation represents parallel lines. Parallel lines never intersect, so there are no common points that satisfy both equations. In this case, the system of equations is inconsistent.
5. How can you graph a linear equation in two variables?
To graph a linear equation in two variables, you can start by finding two points that satisfy the equation. Plot these points on a coordinate plane and draw a straight line passing through them. Repeat this process if needed. The resulting line represents the graph of the linear equation.
406 videos|217 docs|164 tests

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