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# Solve the Following Systems of Equations: 4/X + 3y = 14 3/X - 4y = 23 - CBSE Class 10 - Mathematics

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

#### Question

Solve the following systems of equations:

4/x + 3y = 14

3/x - 4y = 23

#### Solution

4/x + 3y = 14

3/x - 4y = 23

Let 1/x = p

The given equations reduce to:

4p + 3y = 14

=> 4p + 3y - 14 = 0 ...(1)

3p - 4y = 23

=> 3p - 4y - 23 = 0 ....(2)

Using cross-multiplication method, we obtain

p/(-69-56) = y/(-42 - (-92)) = 1/(-16 - 9)

p/(-125) = y/50 = (-1)/25

p = 5 , y = -2

:. p = 1/x = 5

x = 1/5

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Solution Solve the Following Systems of Equations: 4/X + 3y = 14 3/X - 4y = 23 Concept: Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method.
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