Solve- 2x-23y-16 3x-2y-0

3x+2y=0 3x= 2y y= 2x3 and 2x+23y=16 2x 1x=16 1x=16 x=6 So, x=6 , #160; #160; #160; y=2x3= 2× 63= 4 ...

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Standard X

Mathematics

Quadratic Formula

Solve: 2x+2...

Question

Solve: $\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6} \frac{3}{x} + \frac{2}{y} = 0$

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Solution

$\frac{3}{x} + \frac{2}{y} = 0$
$\frac{3}{x} = \frac{- 2}{y}$
$y = \frac{- 2 x}{3}$
and $\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6} \frac{2}{x} - \frac{1}{x} = \frac{1}{6} \frac{1}{x} = \frac{1}{6} x = 6$

So, $x = 6$ ,
$y = \frac{2 x}{3} = \frac{- 2 \times 6}{3} = - 4$

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Similar questions

Q. Solve the following systems of linear inequations graphically:

(i) 2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0
(ii) 2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0
(iii) x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0
(iv) x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0
(v) 2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0

Q. Solve

\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6}, \frac{3}{x} + \frac{2}{y} = 0

Solve the following systems of linear inequations graphically :

$(i) 2 x + 3 y \leq 6, 3 x + 2 y \leq 6, x \geq 0, y \geq 0 (i i) 2 x + 3 y \leq 6, x + 4 y \leq 4, x \geq 0, y \geq 0 (i i i) x + y \geq 1, x + 2 y \leq 8, 2 x + y \geq 2, x \geq 0, y \geq 0 (i v) x + y \geq 1, 7 x + 9 y \leq 63, y \leq 5, x \geq 0, y \geq 0 (v) 2 x + 3 y \leq 35, y \geq 3, x \geq 2, x \geq 0, y \geq 0$

Q. Solve:

\frac{2}{x} + \frac{3}{3 y} = \frac{1}{6}

and

\frac{3}{x} + \frac{2}{y} = 0

, where

x \neq 0; y \neq 0

Q. Solve the simultaneous equation:

\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6}

;

\frac{3}{x} + \frac{2}{y} = 0

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Solve: 2x+23y=163x+2y=0

3x+2y=03x=−2yy=−2x3and 2x+23y=162x−1x=161x=16x=6So, x=6, y=2x3=−2×63=−4

Solve: $\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6} \frac{3}{x} + \frac{2}{y} = 0$

$\frac{3}{x} + \frac{2}{y} = 0$
$\frac{3}{x} = \frac{- 2}{y}$
$y = \frac{- 2 x}{3}$
and $\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6} \frac{2}{x} - \frac{1}{x} = \frac{1}{6} \frac{1}{x} = \frac{1}{6} x = 6$

So, $x = 6$ ,
$y = \frac{2 x}{3} = \frac{- 2 \times 6}{3} = - 4$