Question

x/a - y/b=a+b and x/a^2 + y/b^2=2. solve by elimination method​

Answer 1

Answer:

given (x/a) + (y/b)=a+b

multiply by (1/a) both sides, we get

(x/a2) +(y/ab)=1+(b/a (1)

guven other linear equations as (x/a2) +(y/b2)=2 (2)

subtract (2) from (1), we get

(x/a2)+ (y/ab) = 1+(b/a)

(x/a2)+(y/b2)=2

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(y/ab) - (y/b2) =(b/a) -1

y[(b - a) /b2]=(b-a) /a

y=b2

put y=b2 in (x/a2)+(y/b2)=2

(x/a2) + (b2/b2)=2

(x/a2) + 1=2

(x/a2)=1

x=a2