Question

Solve using ' ELIMINATION BY SUBSTITUTION' method

$21. \: \frac{x}{a} + \frac{y}{b} = 2$
;
$ax + by = a {}^{2} + b {}^{2}$
Standard:- 10

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Answer 1

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Answer 2

Heya!!

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x/a + y/b = 2 .. Eq1.

ax + by = a^2 + b^2 .. Eq2.

In eq1.

=) x/a = 2 - y/b

=) x = a(2 - y/b)

=) x = 2a - ay/b

Put value of x in eq2.

=) a(2a - ay/b) + by = a^2 + b^2

=) (2a^2 - a^2y/b + by) = a^2 + b^2

=) (2a^2 - a^2 - a^2y/b + by- b^2 = 0

=) (a^2 - b^2 = a^2y/b- by

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

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

=) y = b

Put value of y in eq 1.

Uh get x= a.

Hope it helps uh :)