2x + y = 13 ; 8x - 5y -11
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Answer:here is the answer
Step-by-step explanation:
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Answered by
3
Answer:
x = 3
y = 7
Solution:
The given equations are :
2x + y = 13 --------(1)
8x - 5y = - 11 -------(2)
Now,
Multiplying both sides of eq-(1) by 5 ,
We get ;
=> 5(2x + y) = 5•13
=> 10x + 5y = 65 -------(3)
Now,
Adding eq-(2) and (3) , we get ;
=> 8x - 5y + 10x + 5y = - 11 + 65
=> 8x + 10x = - 11 + 65
=> 18x = 54
=> x = 54/18
=> x = 3
Now,
Putting x = 3 in eq-(1) , we get ;
=> 2x + y = 13
=> 2•3 + y = 13
=> 6 + y = 13
=> y = 13 - 6
=> y = 7
Hence,
The required values of x and y are 3 and 7 respectively.
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