What is 4/x-y+1/x-y=3, 2/x-y-3/x+y=5 ?

The solution to 4/x-y+1/x-y=3, 2/x-y-3/x+y=5 is

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4/x-y+1/x-y=3, 2/x-y-3/x+y=5

\frac{4}{x} - y + \frac{1}{x} - y = 3, \frac{2}{x} - y - \frac{3}{x} + y = 5

(x = - \frac{1}{5}, y = - 14)

Solution steps

[\frac{4}{x} - y + \frac{1}{x} - y = 3 \frac{2}{x} - y - \frac{3}{x} + y = 5]

Isolate

x

for

\frac{4}{x} - y + \frac{1}{x} - y = 3 : x = \frac{5}{3 + 2 y}; y \neq = - \frac{3}{2}

Plug the solutions

x = \frac{5}{3 + 2 y}

into

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

For

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

, subsitute

x

with

\frac{5}{3 + 2 y} : y = - 14

Plug the solutions

y = - 14

into

\frac{4}{x} - y + \frac{1}{x} - y = 3

For

\frac{4}{x} - y + \frac{1}{x} - y = 3

, subsitute

y

with

- 14 : x = - \frac{1}{5}

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{4}{x} - y + \frac{1}{x} - y = 3, \frac{2}{x} - y - \frac{3}{x} + y = 5

(x = - \frac{1}{5}, y = - 14)

5 x + 3 y = - 1, - 3 x + 4 y = - 24

\frac{4}{x} + \frac{3}{y} = 1, \frac{6}{x} - \frac{16}{y} = 8

3 x - y = 20, 6 x + 3 y = 60

15 x + 11 y = 3, 2 - 9 x + 7 y = 8

(b) a = (- 10), b = 1, c = 1

What is 4/x-y+1/x-y=3, 2/x-y-3/x+y=5 ?
The solution to 4/x-y+1/x-y=3, 2/x-y-3/x+y=5 is