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solve for x and y: ax + by= a+b divided by 2 and 3x + 5y= 4

Asked by Harshit Agarwal 21st September 2013, 9:16 AM
Answered by Expert
Answer:
ax + by= a+b/2     ... (1)
3x + 5y= 4            ... (2)
Multiply (1) by 5,
5ax + 5by= 5(a+b)/2     ... (3)
Multiply (2) by b,
3bx + 5by= 4b              ... (4)
 
Subtracting (4) from (3), we get,
 
x(5a-3b) = 5a+5b-8b/2
x(5a-3b) = 5a+3b/2
x = 1/2
 
From (2):
5y = 4-3x = 4 - 3/2 = 5/2
y = 1/2
Answered by Expert 22nd September 2013, 2:50 PM
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