(3x-4y= 8) -(x+y=5). find the value of x and y.
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Answer:
( x , y ) = ( 4 , 1 )
Step-by-step explanation:
The given equations are :
3x - 4y = 8 (1)
x + y = 5 (2)
Multiplying equation 2 by 4 we get ,
4x + 4y = 20 (3)
Adding equations 1 and 3 we get ,
3x - 4y = 8
4x + 4y = 20
Cancelling -4y and +4y and adding 3x and 4x we get ,
7x = 28
Therefore,
x = 28/7
x = 4
Substituting x = 4 in equation 2 we get ,
x + y = 5 (2)
4 + y = 5
y = 5 - 4
y = 1
The solution to the given simultaneous equations is (4 , 1 )
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