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Equation of a Line Perpendicular to a Given Line

Solve the fol...

Question

Solve the following systems of equations:

$\frac{2}{3 x + 2 y} + \frac{3}{3 x - 2 y} = \frac{17}{5}$

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Solution

The given equations are:
Let and then equations are
…
…
Multiply equation by and subtract (ii) from (i), we get
Put the value of in equation, we get
Then
…
…
Add both equations, we get
Put the value of in equation we get
Hence the value of and .

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Q. Solve the following systems of equations:

\frac{2}{3 x + 2 y} + \frac{3}{3 x - 2 y} = \frac{17}{5} \frac{5}{3 x + 2 y} + \frac{1}{3 x - 2 y} = 2

Q. Solve for x and y:

\frac{2}{(3 x + 2 y)} + \frac{3}{(3 x - 2 y)} = \frac{17}{5} \frac{5}{(3 x + 2 y)} + \frac{1}{(3 x - 2 y)} = 2

Solve the following systems of equations:

$\frac{1}{2 (x + 2 y)} + \frac{5}{3 (3 x - 2 y)} = \frac{- 3}{2}$

$\frac{5}{4 (x + 2 y)} - \frac{5}{5 (3 x - 2 y)} = \frac{61}{60}$

Q. Solve the following systems of equations:

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

\frac{5}{4 (x + 2 y)} - \frac{3}{5 (3 x - 2 y)} = \frac{61}{60}

Q. Solve the following system of equations
1/2(x+2y)+5/3(3x-2y)=-3/2
5/4(x+2y)-3/5(3x-2y)=61/60

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