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



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A motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the


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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.

x – 3y – 7 = 0

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`a(x + y) – b (x – y) = a^2 + ab + b^2`

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Solve the following system of equations by the method of cross-multiplication `\frac{x}{a}+\frac{y}{b}=a+b ;   \frac{x}{a^{2}}+\frac{y}{b^{2}}=2`

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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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