Question

solve for x and y :

4/x + 3y = 14
3/x - 4y = 23

​

Answer 1

Answer:

y= -2

x=1/5

Step-by-step explanation:

so first

let 4/x+3y=14-------(1)

3/x-4y=23‐--------(2)

Equation (1)×3 : x12+9y=42

Equation (2)×4 : x12−16y=92

Subtract two equations ;

⇒25y=−50

⇒y=−2

Substituting 'y' in equation (1),we get ;

⇒x=51

Answer 2

Answer:

x= 1/5 y = -2

Step-by-step explanation:

$\frac{4}{x} + 3y = 14$

$\frac{4}{x} = 14 - 3y$

$3y = 14 - \frac{4}{x}$

$3y = \frac{14x - 4}{x}$

$y = \frac{14 x - 4}{3x}$

$\frac{3}{x} - 4y = 23$

Putting Y value

$\frac{3}{x} - 4 (\frac{14x - 4}{3x} ) = 23$

$\frac{3}{x} - \frac{56x - 16}{3x} = 23$

$\frac{9 - 56x + 16}{3x} = 23$

$25 - 56x = 69x$

$69x +56x = 25$

$125x = 25$

$x = \frac{1}{5}$

Putting X value in eq. 1

$\frac{4}{ \frac{1}{5} } + 3y = 14$

$20 + 3y = 14$

$3y = - 6$

$y = - 2$

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