x[a-b+ab/a-b)=y[a+b-ab/a+b] x+y=2a2 solve it using elimination method please don't send links and send a picture if possible - Maths - Pair of Linear Equations in Two Variables

Question

x[a-b+ab/a-b)=y[a+b-ab/a+b]
x+y=2a2
solve it using elimination method
please don't send links and send a picture if
possible

Lovina Kansal · Accepted Answer

Dear student
xa-b+aba-b-ya+b-aba+b=0    
(1)x+y=2a2    
(2)Multiply eq(2) by a-b+aba-b,we getxa-b+aba-b+ya-b+aba-b=2a2a-b+aba-b    
(3)Subtract (3) from (1), we getxa-b+aba-b-ya+b-aba+b-xa-b+aba-b-ya-b+aba-b=-2a2a-b+aba-b⇒ya+b-aba+b+a-b+aba-b=2a2a-b+aba-b⇒ya-ba+b-ab+(a+b)(a-b+ab)a+ba-b=2a2a-b+aba-b⇒ya2+ab-a2b-ab-b2+ab2+a2-ab+a2b+ab-b2+ab2a-ba+b==2a2a-b+aba-b⇒y2a2-2b2+2ab2a-ba+b==2a2a-b+aba-b⇒ya2-b2+ab2=a2a-b+aba+b⇒y=a2a2-ab+a2b+ab-b2+ab2a2-b2+ab2⇒y=a2a2-b2+a2b+ab2a2-b2+ab2Put the value of y in (2), we getx+a2a2-b2+a2b+ab2a2-b2+ab2=2a2⇒x=2a2-a2a2-b2+a2b+ab2a2-b2+ab2⇒x=2a4-2a2b2+2a3b2-a4+a2b2-a4b-a3b2a2-b2+ab2⇒x=a4-a2b2+a3b2-a4ba2-b2+ab2⇒x=a2a2-b2+ab2-a4ba2-b2+ab2⇒x=a2-a4ba2-b2+ab2
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x[a-b+ab/a-b)=y[a+b-ab/a+b] x+y=2a2 solve it using elimination method. please don't send links and send a picture if possible.

x[a-b+ab/a-b)=y[a+b-ab/a+b]
x+y=2a^{2

solve it using elimination method.}
please don't send links and send a picture if possible.