Math, asked by sunnykhatanagujjar78, 8 months ago

ax+by=a×a,bx+ay=b×b​

Answers

Answered by masif4
0

Answer:

soo what is the question in it

Answered by kka25175
0

The given pair of linear equations in two variables is:

ax+by=a^2 -----(i)

bx+ay=b^2 ------(ii)

Multiplying (i) by b,

abx+b^2y=a^2b ------(iii)

Multiplying (ii) by a,

abx+a^2y=ab^2 ------(iv)

By elimination method, subtracting (iii) from (iv),

abx-a^2y-abx+b^2y=a^2b-ab^2

=> a^2y-b^2y=ab(b-a)

=> (b^2-a^2)y=ab(b-a)

=>(b-a)(a+b)y=ab(b-a)

=>y=ab/(a+b)

Substituting value of y in (i),

ax+b{ab/(a+b)}=a^2

=>ax+ab^2/(a+b)=a^2

=>a[x+b^2/(a+b)]=a×a

=>x+b^2/(a+b)=a

=>x=a-{b^2/(a+b)}

=>x=(a^2+ab-b^2)/(a+b)

I hope my ans helps

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