Math, asked by wathores1234, 7 months ago

(4) 3x - y - 2 = 0; 2x +y =8
(5) 3x + y = 10 ; x - y=2



Answers

Answered by BrotishPal
2

Answer:

4) x=2,y=4

5)x=3,y=1

Step-by-step explanation:

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Answered by varadad25
33

Answer:

4.

The solution of the given simultaneous equations is ( x, y ) = ( 2, 4 ).

5.

The solution of the given simultaneous equations is ( x, y ) = ( 3, 1 ).

Step-by-step-explanation:

4.

The given simultaneous equations are 3x - y - 2 = 0 and 2x + y = 8.

3x - y - 2 = 0

⇒ 3x - y = 2 - - ( 1 )

2x + y = 8 - - ( 2 )

By adding equation ( 1 ) and equation ( 2 ), we get,

3x - y = 2 - - ( 1 )

+

2x + y = 8 - - ( 2 )

____________

⇒ 5x = 10

⇒ x = 10 ÷ 5

x = 2

By substituting x = 2 in equation ( 2 ), we get,

2x + y = 8

⇒ 2 × 2 + y = 8

⇒ 4 + y = 8

⇒ y = 8 - 4

y = 4

∴ The solution of the given simultaneous equations is ( x, y ) = ( 2, 4 ).

______________

5.

The given simultaneous equations are 3x + y = 10 and x - y = 2.

3x + y = 10 - - ( 1 )

x - y = 2 - - ( 2 )

By adding equation ( 1 ) and equation ( 2 ), we get,

3x + y = 10 - - ( 1 )

+

x - y = 2 - - ( 2 )

__________

⇒ 4x = 12

⇒ x = 12 ÷ 4

x = 3

By substituting x = 3 in equation ( 2 ), we get,

x - y = 2 - - ( 2 )

⇒ 3 - y = 2

⇒ - y = 2 - 3

⇒ - y = - 1

y = 1

∴ The solution of the given simultaneous equations is ( x, y ) = ( 3, 1 ).

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