What is 7/x-(15)/y =9,*(11)/x-8/y =-17 ?

The solution to 7/x-(15)/y =9,*(11)/x-8/y =-17 is

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7/x-(15)/y =9,*(11)/x-8/y =-17

\frac{7}{x} - \frac{15}{y} = 9, \cdot \frac{11}{x} - \frac{8}{y} = - 17

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

Solution steps

[\frac{7}{x} - \frac{15}{y} = 9 \frac{11}{x} - \frac{8}{y} = - 17]

Isolate

x

for

\frac{7}{x} - \frac{15}{y} = 9 : x = \frac{7 y}{3 ( 5 + 3 y )}; y \neq = - \frac{5}{3}

Plug the solutions

x = \frac{7 y}{3 ( 5 + 3 y )}

into

\cdot \frac{11}{x} - \frac{8}{y} = - 17

For

\cdot \frac{11}{x} - \frac{8}{y} = - 17

, subsitute

x

with

\frac{7 y}{3 ( 5 + 3 y )} : y = - \frac{1}{2}

Plug the solutions

y = - \frac{1}{2}

into

\frac{7}{x} - \frac{15}{y} = 9

For

\frac{7}{x} - \frac{15}{y} = 9

, subsitute

y

with

- \frac{1}{2} : x = - \frac{1}{3}

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{7}{x} - \frac{15}{y} = 9, \cdot \frac{11}{x} - \frac{8}{y} = - 17

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

5 x - 2 y = 7, 4 x + 3 y = - 2

3 x - 18 y = - 54, 5 x - 4 y = - 40

3 x + 2 y = 3, 2 x - 2 y = - 8

x + y = 3, 2 x + 5 y = 15, 2 x + 2 y = - 3

3 x + 2 y = 3, 2 x + 2 y = 1

What is 7/x-(15)/y =9,*(11)/x-8/y =-17 ?
The solution to 7/x-(15)/y =9,*(11)/x-8/y =-17 is