Maths Linear Equation in 1 Variable part 5 (Equation reducible to Linear Form) CBSE Class 8 | Summary and Q&A

TL;DR

Learn how to solve reducible linear equations, which appear complex but can be simplified using cross multiplication.

Key Insights

• 😵 Reducible linear equations can be solved by using cross multiplication.
• 😵 Cross multiplication simplifies the equation into the usual form of a linear equation.
• ❓ Variables and constants can be separated by rearranging the equation.
• 😵 Not all equations can be solved using cross multiplication.
• ✖️ Cross multiplication is a shortcut to multiplying the denominators on both sides of the equation.
• 🗯️ Reducible linear equations may appear complex due to their form, but they can still be solved with the right approach.
• 😵 It is important to identify the correct form of the equation before applying cross multiplication.

Transcript

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Questions & Answers

Q: How can reducible linear equations be solved?

Reducible linear equations can be solved by using cross multiplication to simplify the equation and solve for the variable. Cross multiplication involves multiplying the denominator on one side to the numerator on the other side of the equation.

Q: When should cross multiplication not be used?

Cross multiplication should not be used when the equation is not in the form of numerator by denominator equal to numerator by denominator. This rule is not applicable for equations that have different forms.

Q: What is the purpose of cross multiplication?

The purpose of cross multiplication is to simplify the equation and bring it into the usual form of a linear equation. By multiplying the denominators to the numerators, the equation becomes easier to solve.

Q: How can variables and constants be separated in the equation?

To separate variables and constants in the equation, rearrange the equation so that all variables are on one side and all constants are on the other side. This will make it easier to solve for the variable.

Summary & Key Takeaways

• Linear equations that are reducible to linear form may appear complex but can be solved by cross multiplying.

• Cross multiplication involves multiplying the denominator on one side to the numerator on the other side.

• After cross multiplication, simplify the equation by combining like terms and solving for the variable.