Solving Simultaneous equation by the method of elimination.
3x+2y=29 …………….. (1)
5x-y=18 ……………… (2)
Solution : Multiplying equation (2) by 2
5x X ( ) -y X ( ) = 18 X ( )
10x –2y = ( ) …………………. (3)
Adding equation 1 and 3
3x + 2y = 29 …… (1)
+ ( ) - ( ) = ( )…… (3)
--------------------------------
( ) = ( )
∴ x = 5
Substituting x = 5 in eqn 1
3x + 2y = 29
3x ( ) + 2y = 29
( ) + 2y = 29
2y = 29 – ( )
2y = ( ) ∴ Y = ( )
Answers
Answer:
Solving Simultaneous equation by the method of elimination.
3x+2y=29 …………….. (1)
5x-y=18 ……………… (2)
Solution : Multiplying equation (2) by 2
5x X ( ) -y X ( ) = 18 X ( )
10x –2y = ( ) …………………. (3)
Adding equation 1 and 3
3x + 2y = 29 …… (1)
+ ( ) - ( ) = ( )…… (3)
--------------------------------
( ) = ( )
∴ x = 5
Substituting x = 5 in eqn 1
3x + 2y = 29
3x ( ) + 2y = 29
( ) + 2y = 29
2y = 29 – ( )
2y = ( ) ∴ Y = ( )
Step-by-step explanation:
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Answer:
3x+2y=29 …………….. (1)
5x-y=18 ……………… (2)
Solution : Multiplying equation (2) by 2
5x X ( ) -y X ( ) = 18 X ( )
10x –2y = ( ) …………………. (3)
Adding equation 1 and 3
3x + 2y = 29 …… (1)
+ ( ) - ( ) = ( )…… (3)
--------------------------------
( ) = ( )
∴ x = 5
Substituting x = 5 in eqn 1
3x + 2y = 29
3x ( ) + 2y = 29
( ) + 2y = 29
2y = 29 – ( )
2y = ( ) ∴ Y = ( )