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Question

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


A
2a,2b
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B
2a,2b
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C
2a,2b
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D
a2,b2
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Solution

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

Mathematics

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