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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Mathematics » Cross multiplication solving linear equation two variables

Cross multiplication solving linear equation two variables

The cross multiplication method of solving equations with two variables is only applicable to a pair of equations with two variables. It is not applicable to one-variable linear equations. The cross multiplication approach is used to solve a two-variable linear equation. This method is the simplest and provides the most accurate value for the variables. Only when we have a pair of linear equations in two variables can we use cross multiplication. We will go over how to use this cross multiplication procedure to get the answer in this article.

Table of Content
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Introduction

The cross multiplication method is used to solve linear equations with two variables. The cross-multiplication approach is the simplest and most straightforward way of solving two-variable linear equations. This method is typically used when there are two variables in a linear equation.

Cross Multiplication Method Definition

Cross-multiplication is a method for finding the solution to two-variable linear equations. It turns out to be the quickest way to solve a set of linear equations.

How do you do a Value Cross Multiplication?

There are three phases to cross multiplication:

  1. Multiply the right-hand side fraction value’s numerator by the left-hand side fraction value’s denominator.
  2. Multiply the right-hand side fraction value’s denominator by the left-hand side fraction value’s numerator.
  3. LHS is the same as RHS.

 

Cross Multiplication Method Derivation

 

In general, the pair of two-variable linear equations can be written as:

Calculator for the Cross-Multiplication Method

To cross multiply the equations, multiply the numerator of the first fraction by the denominator of the second fraction, and then write down the result. After that, you must multiply the numerator of the second fraction by the number in the denominator of the first fraction, and then write down the result.

To use the calculator, follow the instructions below:

  • Write the numerators and denominators’ values in the spaces provided, as well as the unknown as x.
  • Select “Calculate” from the drop-down menu.
  • To clear the field and input values, click “Reset.”

 

Cross multiplication solving linear equation two variables

 

Conclusion

We discussed the phrase cross multiplication for solving linear equations, the cross multiplication method, and then solved some instances in the offered article. We also discussed the derivative cross multiplication approach and the quadratic cross multiplication method. We talked about how to solve a linear equation using the cross multiplication method. To solve systems of equations, utilize the cross multiplication formula. It is used to determine whether two equations are equivalent, as well as to find the value of a variable if they are. If two points are specified, the cross multiplication formula can also be used to compute the slope of a line.

faq

Frequently asked questions

Get answers to the most common queries related to the JEE Examination Preparation.

In a one-variable linear equation, how do you do cross multiplication?

Ans. In the case of linear equations, the cross multiplication method of solving is only applicable to two-variable ...Read full

Why is it possible to cross multiply?

Ans. When you compare fractions using cross-multiplication, you can lose sight of the concept of finding equivalent ...Read full

What Is the Best Way to Solve Cross Multiplication?

Ans. The solution to the pair of linear equations in two variables using cross multiplication is: ...Read full

Find the value of x in the above expression, using cross multiplication as a method. x3=118

...Read full

What is the cross multiplication formula?

Ans. In this operation, the numerator of one side is multiplied by the denominator of the other side. The numerator ...Read full

Ans. In the case of linear equations, the cross multiplication method of solving is only applicable to two-variable linear equations. It is not applicable to one-variable linear equations.

 

Ans. When you compare fractions using cross-multiplication, you can lose sight of the concept of finding equivalent fractions; this is where cross-multiplication comes into play. This property asserts that if both sides of an equation or inequality are multiplied by the same number, the values on both sides remain equal.

 

Ans. The solution to the pair of linear equations in two variables using cross multiplication is:

 

 

Ans. In this operation, the numerator of one side is multiplied by the denominator of the other side. The numerator and denominator of one fraction must be multiplied by the denominator of the 2nd fraction.

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