solve x & y 5/x+y + 1/x-y =2 , 15/x+y - 5/x - y = -2
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Question:
Solve x and y
Solution:
Let and
So,
5p + q = 2 (Equation 1)
15p - 5q = -2 (Equation 2)
Multiplying Equation 1 from 3
15p + 3q = 6 (Equation 3)
Subtracting Equation 2 from Equation 3
15p + 3q - 15p + 5q = 6 - (-2)
8q = 8
q = 1
Putting value in Equation 1
5p + q = 2
5p + 1 = 2
5p = 2 - 1
p =
Putting values of p and q
x + y = 5 (Equation 4)
x - y = 1 (Equation 5)
Adding Equation 4 and Equation 5
x + y + x - y = 5 + 1
2x = 6
x = 3
Putting value in Equation 4
x + y = 5
3 + y = 5
y = 5 - 3 = 2
Hence,
x = 3
y = 2
Anonymous:
perfect answer
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