Maths Linear Equation in 1 Variable part 4 (Variable on Both Side) CBSE Class 8 Mathematics

TL;DR

This video explains how to solve linear equations with variables on both sides by isolating the variables on one side and the constants on the other.

Transcript

hello friends this video on linear equations in one variable part 4 is brought to you by exam feel calm no more fear from exam so let us now try to solve linear equations with variables on both sides because till now it was quite simpler when you have constants on one side now if you have variables on both sides then how do you go about it so let u... Read More

Key Insights

• 🙃 Linear equations with variables on both sides can be solved by collecting the variables on one side and the constants on the other.
• 🙃 Transposing the variables and constants correctly is the key step in solving equations with variables on both sides.
• 🙃 If there are fractions or denominators in the equation, multiply both sides by the LCM to eliminate them.
• 🆘 Following a step-by-step approach and simplifying the equation helps in finding the solution.
• ❓ The mantra of arranging variables on one side and constants on the other is crucial in solving linear equations.
• 🙃 The video provides examples and solutions to equations with variables on both sides to illustrate the process.
• 🙃 The presence of variables on both sides does not change the overall approach to solving linear equations.

Questions & Answers

Q: How do you solve linear equations with variables on both sides?

To solve linear equations with variables on both sides, collect all the variables on one side and the constants on the other by transposing them. Then, solve for the variable.

Q: What is the approach to solving these equations?

The approach involves isolating the variable by arranging all the variables on one side and all the constants on the other side. This allows for simplification and finding the value of the variable.

Q: What needs to be done when there are denominators or fractions in the equations?

To simplify equations with denominators or fractions, try to eliminate them by multiplying both sides of the equation with the least common multiple (LCM) of the denominators. This helps in getting rid of the fractions and makes the equation easier to solve.

Q: Are there any specific tips or tricks for solving these equations?

When solving equations with variables on both sides, it is important to remember to transpose the variables and constants correctly. Keep the variables on one side and the constants on the other to simplify the equation and find the solution.

Summary & Key Takeaways

• The video teaches how to solve linear equations with variables on both sides by first collecting all the variables on one side and the constants on the other.

• Examples are provided to show step-by-step solutions to equations with variables on both sides.

• The key to solving these equations is following a simple mantra of arranging the variables and constants correctly.