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# Solve the Following Systems of Equations: 1/(2x) + 1/(3y) = 2 1/(3x) + 1/(2y) = 13/6 - CBSE Class 10 - Mathematics

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

#### Question

Solve the following systems of equations:

1/(2x) + 1/(3y) = 2

1/(3x) + 1/(2y) = 13/6

#### Solution

Let 1/x = u and 1/y = v the given equations become

u/2 + v/3 = 2

=> (3u + 2v)/6 = 2

=> 3u + 2v = 12 .....(i)

And u/3 + v/2 = 13/6

=> (2u + 3v)/6 = 13/6

=> v = 6/2 = 3

Hence  x = 1/u = 1/2  and y = 1/v = 1/3

So, the solution of the given system o equation is x = 1/2, y = 1/3

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Solution Solve the Following Systems of Equations: 1/(2x) + 1/(3y) = 2 1/(3x) + 1/(2y) = 13/6 Concept: Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method.
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