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प्रश्न
Solve for x and y:
`x + y = a + b, a x – by = a^2 – b^2`
उत्तर
The given equations are
x + y = a + b …….(i)
ax – by = `a^2 – b^2` ……..(ii)
Multiplying (i) by b and adding it with (ii), we get
bx + ax = ab + `b^2 + a^2 – b^2`
`⇒ x =( ab+ a^2)/(a+b) = a`
Substituting x = a in (i), we have
a + y = a + b
⇒y = b
Hence, x = a and y = b.
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