Solve for \( x \) and \( y \) by substitution method (i) \( x+y=a-b, a x-b y=a^{2}+b^{2} \) (ii)...

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Solve for \( x \) and \( y \) by substitution method
(i) \( x+y=a-b, a x-b y=a^{2}+b^{2} \)
(ii) \( \frac{x}{a}+\frac{y}{b}=2, a x-b y=a^{2}-b^{2} \)
(iii) \( \frac{b x}{a}-\frac{a y}{b}+a+b=0, b x-a y+2 a b=0 \)
(iv) \( 2(a x-b y)+a+4 b=0 \),
\( 2(b x+a y)+(b-4 a)=0 \)
(v) \( 2\left(\frac{x}{a}\right)+\frac{y}{b}=2, \frac{x}{a}-\frac{y}{b}=4 \)
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