solve for x and y : ax/ b - by/a = a+b, ax- by = 2ab . solve this equation step by step plzz.
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ax/b-by/a=a+b ........(i)
ax-by=2ab ........(ii)
equation i × ab - ii × a
a2x - b2y = a2b - ab2
a2x - aby = 2a2b
- + -
________________________
by(a - b) = ab (b - a)
or y = -a
Substituting in equation i
ax + a2b = 2a2b
ax = a2b
x = b
ax-by=2ab ........(ii)
equation i × ab - ii × a
a2x - b2y = a2b - ab2
a2x - aby = 2a2b
- + -
________________________
by(a - b) = ab (b - a)
or y = -a
Substituting in equation i
ax + a2b = 2a2b
ax = a2b
x = b
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