Pair of Linear Equations in Two Variables - Short Revision || CBSE Class 10 Math || IL Class 9&10

TL;DR

Learn about solving MCQs related to linear equations in two variables using specific techniques and formulas.

Transcript

hello everybody we are over here to discuss some mcqs in the chapter pair of linear equations in two variables so let's start with it so you have been given with a pair of linear equations in two variables you have to find the value of x plus y okay so guys this is a standard form I mean this is uh you can say a tricky type of question so what you ... Read More

Key Insights

• 🪜 Solving MCQs related to linear equations in two variables involves using specific techniques such as adding or subtracting the equations.
• 🫥 Coincident lines have infinitely many solutions and can be identified by equal ratios of coefficients.
• ❓ When finding the value of a specific variable, it is unnecessary to solve for the other variable.
• 🫥 Inconsistent pair of equations have no solution and represent parallel lines.

Questions & Answers

Q: How do you solve a pair of linear equations in two variables with interchanging coefficients?

To solve such equations, add the equations together and simplify to find the value of x + y, which can be directly derived from the coefficients. In this case, the answer is 1.

Q: What is the condition for coincident lines in linear equations?

For coincident lines, the condition is that the ratio of the coefficients of x and y in both equations should be equal. By cross-multiplying, we can find the value of K, which in this case is 4.

Q: How do you solve a pair of linear equations to find the value of y only?

When asked to find the value of y only, you can substitute the value of x in terms of y from one equation into the other. Simplifying the equation will give you the value of y as B, while x is equal to a.

Q: What is the condition for an inconsistent pair of linear equations?

Inconsistent pair of linear equations have no solution and can be represented as parallel lines. The condition for parallel lines is that the ratios of the coefficients of x and y in both equations should not be equal. By solving the equation, the value of K is found to be -2.

Summary & Key Takeaways

• The video discusses the process of solving MCQs related to linear equations in two variables using specific techniques.

• The first technique involves adding the equations together and the second technique involves subtracting the equations.

• The video also covers topics such as finding the value of K for coincident lines, solving equations for specific variables, and determining the value of K for inconsistent pair of equations.