Solve ax+by=2ab and bx-ay =b2-a2 by elimination method
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Step-by-step explanation:
ax + by = 2ab---------------------(1 )
bx - ay. = b^2- a^2---------------( 2 )
multiply eq.1 by a/b and adding in eq. 2
a^2X/b + ay = 2a^2
bX. - ay. = b^2- a^2
---------------------------------
a^2X/b + bX = a^2+ b^2
X ( a^2 + b^2)/b. = (a^2 + b^2)
b ( a^2 + b^2)
X. =. –--------------------
( a^2 + b^2)
X. = b
substitute X= b in equation (1 )
aX + bY = 2ab
ab + by = 2ab
by = 2ab - ab
by = ab
Y= a
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