Question

ax + by = ab , bx + ay = ab
( using elimination method )​

Answer 1

Answer:

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Answer 2

Answer:

hope it helps

Step-by-step explanation:

ax+by=a−b⋯(1)

bx−ay=a+b⋯(2)

(1)×a⟹a2x+aby=a2−ab⋯(3)

(2)×b⟹b2x−aby=ab+b2⋯(4)

Adding the like terms of both equations,

(a2+b2)x=a2−ab+ab+b2

⟹(a2+b2)x=a2+b2

[∵+aby and -aby gets cancelled]

⟹x=a2+b2a2+b2

⟹x=1

Substitute x=1 in equation (1).

a(1)+by=a−b

a+by=a−b

by=a−b−a

by=−b

y=−bb

⟹y=−1

Therefore, solution is (x,y)=(1,−1)