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# Solve the Following Systems of Equations: "Xy"/(X + Y) = 6/5 "Xy"/(Y- X) = 6 - CBSE Class 10 - Mathematics

ConceptAlgebraic Methods of Solving a Pair of Linear Equations Substitution Method

#### Question

Solve the following systems of equations:

"xy"/(x + y) = 6/5

"xy"/(y- x) = 6

#### Solution

The given system of equation is

"xy"/(x + y) = 6/5

=> 5xy = 6(x + y)

=> 5xy = 6x + 6y ....(i)

And (xy)/(y - x) = 6

=> xy = 6(y -x)

=> xy= 6y - 6x ....(ii)

Adding equation (i) and equation (ii), we get

6xy = 6y + 6y

=> 6xy = 12y

=> x = (12y)/(6y) = 2

Putting x = 2 in equation (i), we get

5 xx 1 xx y = 6 xx 2 + 6y

=> 10y =  12 + 6y

=> 10y - 6y = 12

=> 4y = 12

=> y = 12/4 = 3

Hence, solution of the given system of equation is x = 2, y =3

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Solution Solve the Following Systems of Equations: "Xy"/(X + Y) = 6/5 "Xy"/(Y- X) = 6 Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method.
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