solution this
ax+by=a-b
bx-ay=a+b
Answers
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
=ab+b 2
=ab+b 2 ......... (4)
=ab+b 2 ......... (4)Adding (3) and (4), we get,
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a 2
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a 2 +b
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a 2 +b 2
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a 2 +b 2
=ab+b 2 ......... (4)Adding (3) and (4), we get,(a 2 +b 2 )x=a 2 +b 2 ⇒x=1
Now, from (1),
Now, from (1),ax+by=a−b
Now, from (1),ax+by=a−ba+by=a−b
Now, from (1),ax+by=a−ba+by=a−bby=−b
Now, from (1),ax+by=a−ba+by=a−bby=−by=−1
Step-by-step explanation:
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