Find the values of x and y in the following pair of equations- 1-7x-1-6y-3- 1-2x-1-3y-5- x-y-0

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Find the valu...

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Find the values of x and y in the following pair of equations:
$\frac{1}{7 x} + \frac{1}{6 y} = 3$ ; $\frac{1}{2 x} - \frac{1}{3 y} = 5$ ; $x, y$ $\neq$ $0$

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Q. Solve the following pairs of equations by reducing them to a pair of linear equations:

(i)

\frac{1}{2 x} + \frac{1}{3 y} = 2; \frac{1}{3 x} + \frac{1}{2 y} = \frac{13}{6}

(ii)

\frac{2}{\sqrt{x}} + \frac{3}{\sqrt{y}} = 2; \frac{4}{\sqrt{x}} - \frac{9}{\sqrt{y}} = - 1

(iii)

\frac{4}{x} + 3 y = 14; \frac{3}{x} - 4 y = 23

(iv)

\frac{5}{x - 1} + \frac{1}{y - 2} = 2; \frac{6}{x - 1} - \frac{3}{y - 2} = 1

(v)

\frac{7 x - 2 y}{x y} = 5; \frac{8 x + 7 y}{x y} = 15

(vi)

6 x + 3 y = 6 x y; 2 x + 4 y = 5 x y

(vii)

\frac{10}{x + y} + \frac{2}{x - y} = 4; \frac{15}{x + y} - \frac{5}{x - y} = - 2

(viii)

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}; \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}

Solve for x and y:

$6 x + 5 y = 7 x + 3 y + 1 = 2 (x + 6 y - 1)$

Find the values of 𝑥 and 𝑦 in the given pair of equations.

$\frac{1}{5 x} + \frac{1}{2 y} = 3$ ; $\frac{1}{2 x} + \frac{1}{3 y} = 6$ ; x,y≠0

Q. Solve the following systems of equations:

\frac{1}{7 x} + \frac{1}{6 y} = 3

\frac{1}{2 x} - \frac{1}{3 y} = 5

Which of the following pairs of linear equations is inconsistent?
$1. x + 3 y - 5 = 0, 2 x + y = 0$
$2. 2 x + y = 1, 2 y = 2 - 4 x$
$3. 2 x - y = 2, 2 y - 4 x = 2$

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Find the values of x and y in the following pair of equations: 17x+16y=3; 12x−13y=5; x,y≠0

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Find the values of x and y in the following pair of equations:
$\frac{1}{7 x} + \frac{1}{6 y} = 3$ ; $\frac{1}{2 x} - \frac{1}{3 y} = 5$ ; $x, y$ $\neq$ $0$