# Solution - Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

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ConceptAlgebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

#### Question

Solve the following system of equations by cross-multiplication method x + y = a – b; ax – by = a2 + b2

#### Solution

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#### Similar questions VIEW ALL

Solve the following system of equations by cross-multiplication method.

ax + by = a – b; bx – ay = a + b

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Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method

3x – 5y = 20

6x – 10y = 40

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Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic met

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

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Solve the following system of equations by cross-multiplications method.

a(x + y) + b (x – y) = a^2 – ab + b^2

a(x + y) – b (x – y) = a^2 + ab + b^2

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A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?

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#### Reference Material

Solution for concept: Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method. For the course 8th-10th CBSE
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