Find the values of - and - in the following pair of equations- 1-3x-y-1-3x-y-3-4 and 1-23x-y-1-23x-y-1-8

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Find the valu...

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Find the values of 𝑥 and 𝑦 in the following pair of equations:
$\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}$ and $\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}$

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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

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

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\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}

Q. Solve the following systems of equations:

\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}

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

\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}

Question 1 (viii)
Solve the following pairs of equations by reducing them to a pair of linear equations:
$\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}$
$\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}$

Q. Solve the following simultaneous equations:

\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}

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Find the values of 𝑥 and 𝑦 in the following pair of equations: 13x+y+13x−y=34 and 12(3x+y)−12(3x−y)=−18

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Find the values of 𝑥 and 𝑦 in the following pair of equations:
$\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}$ and $\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}$