(4) 3x - y - 2 = 0; 2x +y =8
(5) 3x + y = 10 ; x - y=2
Answers
Answer:
4) x=2,y=4
5)x=3,y=1
Step-by-step explanation:
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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 ).