Maharashtra State BoardSSC (English Medium) 9th Standard
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Solve the Following Sets of Simultaneous Equations. - Algebra

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Sum

Solve the following sets of simultaneous equations.
 x + y = 4 ; 2x - 5y = 1

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Solution

x + y = 4            .....(I)
2x - 5y = 1            .....(II)
From (I) we have
x = 4 - y
Putting this value of x in (II)
2 ( 4 - y ) - 5y = 1
⇒ 8 - 2y - 5y = 1
⇒ 8 - 7y = 1
⇒ 8 - 1 = 7y
⇒ 7 = 7y
⇒ y = 1.
Putting the value of in (I) we have
x + 1 = 4
⇒ x = 3
Thus, ( x , y ) = ( 3,1 )

Concept: Linear Equations in Two Variables
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