If 2 x-3 y-5 x-4 y-3-2- then the value of 7 x-4 y-7 x-4 y is

The correct option is C 432x 3y5x 4y=32 ⇒2(2x 3y)=3(5x 4y) ⇒ xy=611 ⇒7x4y=4244=2122 Applying componendo and dividendo, we get 7x+4y7x 4y=43 1= 43 nbsp; ...

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Byju's Answer

Standard XII

Mathematics

Definition of Functions

If 2 x-3 y/5 ...

Question

If $\frac{2 x - 3 y}{5 x - 4 y} = \frac{3}{2}$ , then the value of $\frac{7 x + 4 y}{7 x - 4 y}$ is

\frac{42}{19}

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\frac{43}{17}

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- 43

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43

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Solution

The correct option is C $- 43$
$\frac{2 x - 3 y}{5 x - 4 y} = \frac{3}{2}$
$\Rightarrow 2 (2 x - 3 y) = 3 (5 x - 4 y)$
$\Rightarrow \frac{x}{y} = \frac{6}{11}$
$\Rightarrow \frac{7 x}{4 y} = \frac{42}{44} = \frac{21}{22}$
Applying componendo and dividendo, we get
$\frac{7 x + 4 y}{7 x - 4 y} = \frac{43}{- 1} = - 43$

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If 2x−3y5x−4y=32, then the value of 7x+4y7x−4y is

The correct option is C −432x−3y5x−4y=32 ⇒2(2x−3y)=3(5x−4y) ⇒xy=611 ⇒7x4y=4244=2122 Applying componendo and dividendo, we get 7x+4y7x−4y=43−1=−43

If $\frac{2 x - 3 y}{5 x - 4 y} = \frac{3}{2}$ , then the value of $\frac{7 x + 4 y}{7 x - 4 y}$ is