Question

x-y=a+b,ax+by=a²-b²​

Answer 1

Step-by-step explanation:

a^2-b^2=(a+b)(a-b)

ax+by

Answer 2

Answer:

Solve:

x+y=a+b and

ax−by=a ^2-b^2

.

ANSWER

The given system of equations may be written as

x+y−(a+b)=0

ax−by−(a ^2-b^2) =0

By cross-multiplication, we get

−(a ^2-b^2)

−(−b)×−(a+b)x

= (a^2-b^2)

−a×−(a+b)-y

=

1×−b−a×1

1

⇒

−a ^2+b^2

−ab−b ^2

x

=

−a ^2+b^2

+ab

−y

=

−b−a

1

⇒

−a(a+b)

x

=

−b(a+b)

y

=

−(a+b)

1

⇒x=

−(a+b)

−a(a+b)

=a and y=

−(a+b)

−b(a+b)

=b

Hence, the solution of the given system of equations is x=a,y=b.

⇒

−a(a+b)

x

=

b(a+b)

−y

=

−(a+b)

1

Step-by-step explanation:

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