Question

solve this on the basis of simultanious linear equation:4x-3y=xy
1/x+2/y=3

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Answer 1

Answer:

Step-by-step explanation:

3x+2y=7

4x+y=6⇒y=6−4x

placing in equation (1)

3x+2(6−4x)=7

3x+12−8x=7⇒−5x+12=7

−5x=7−12⇒−5x=−5

x=1

∴ y = 6 - 4×1=2

∴ x = 1, y = 2

Answer 2

$4x - 3y = xy$

$4x = xy + 3y$

$x = \frac{xy + 3y}{4}$

As we can see x on both sides so we can cancel them:

$1 = \frac{y + 3y}{4}$

$4 = 4y$

$y = 1$

We now have the value of y. So:

$\frac{1}{x} + \frac{2}{y} = 3$

$\frac{1}{x} + \frac{2}{1} = 3$

$\frac{1}{x} = 3 - 2$

$\frac{1}{x} = 1$

$x = 1$

We now got the values of x=y=1

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