4. If bx - ay = a + b and ax + by = a - b, then value of x/y(x by y) - is: у (A) O (B) -1 (C) 2 (D) 1
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2
Answer:
answer is x/y=1/-1 which is -1
Answered by
2
Answer:
ax+by=a−b (1)
bx−ay=a+b (2)
Multiply equation (1) with a and equation (2) with b ,
a
2
x+aby=a
2
−ab (3)
b
2
x−aby=ab+b
2 (4)
Adding (3) and (4), we get,
(a
2
+b
2
)x=a
2
+b
2
⇒x=1
Now, from (1),
ax+by=a−b
a+by=a−b
by=−b
y=−1
x/y=1/-1=-1
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