The correct option is B 2a, 2b 2x/a+y/b=2,x/a y/b=4 2bx + ay = 2ab , bx ay = 4ab Add the two equations, 3bx = 6ab x = 2a Now, ...

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Method of Substitution to Find the Solution of a Pair of Linear Equations

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

Question

$\frac{2 x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4$

\frac{2}{a}, \frac{2}{b}

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2 a, - 2 b

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- 2 a, 2 b

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\frac{a}{2}, - \frac{b}{2}

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Solution

The correct option is B $2 a, - 2 b$
$\frac{2 x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4$
$2 b x + a y = 2 a b$ , $b x - a y = 4 a b$
Add the two equations,
$3 b x = 6 a b$
$x = 2 a$
Now, $2 b (2 a) + a y = 2 a b$
$a y = - 2 a b$
$y = - 2 b$

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