What is (94)/x+5/y =8, 3/x-2/y =-2 ?

The solution to (94)/x+5/y =8, 3/x-2/y =-2 is

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(94)/x+5/y =8, 3/x-2/y =-2

\frac{94}{x} + \frac{5}{y} = 8, \frac{3}{x} - \frac{2}{y} = - 2

(x = \frac{203}{6}, y = \frac{203}{212})

Solution steps

[\frac{94}{x} + \frac{5}{y} = 8 \frac{3}{x} - \frac{2}{y} = - 2]

Isolate

x

for

\frac{94}{x} + \frac{5}{y} = 8 : x = - \frac{94 y}{5 - 8 y}; y \neq = \frac{5}{8}

Plug the solutions

x = - \frac{94 y}{5 - 8 y}

into

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

For

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

, subsitute

x

with

- \frac{94 y}{5 - 8 y} : y = \frac{203}{212}

Plug the solutions

y = \frac{203}{212}

into

\frac{94}{x} + \frac{5}{y} = 8

For

\frac{94}{x} + \frac{5}{y} = 8

, subsitute

y

with

\frac{203}{212} : x = \frac{203}{6}

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{94}{x} + \frac{5}{y} = 8, \frac{3}{x} - \frac{2}{y} = - 2

(x = \frac{203}{6}, y = \frac{203}{212})

2 b = 10, a = 1, c = 15

x + 2 y + 2 = 0, - 2 x + y - 9 = 0

5 x + 3 z = 61, x + 2 z = 20

2 x - 3 y = 7, 5 x + 3 y = 12

11 x + 3 y = 50, 8 x + 3 y = 38

What is (94)/x+5/y =8, 3/x-2/y =-2 ?
The solution to (94)/x+5/y =8, 3/x-2/y =-2 is