What is 8/x+5/y =-3, 6/x+(25)/y =2 ?

The solution to 8/x+5/y =-3, 6/x+(25)/y =2 is

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8/x+5/y =-3, 6/x+(25)/y =2

\frac{8}{x} + \frac{5}{y} = - 3, \frac{6}{x} + \frac{25}{y} = 2

(x = - 2, y = 5)

Solution steps

[\frac{8}{x} + \frac{5}{y} = - 3 \frac{6}{x} + \frac{25}{y} = 2]

Isolate

x

for

\frac{8}{x} + \frac{5}{y} = - 3 : x = - \frac{8 y}{5 + 3 y}; y \neq = - \frac{5}{3}

Plug the solutions

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

into

\frac{6}{x} + \frac{25}{y} = 2

For

\frac{6}{x} + \frac{25}{y} = 2

, subsitute

x

with

- \frac{8 y}{5 + 3 y} : y = 5

Plug the solutions

y = 5

into

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

For

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

, subsitute

y

with

5 : x = - 2

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{8}{x} + \frac{5}{y} = - 3, \frac{6}{x} + \frac{25}{y} = 2

(x = - 2, y = 5)

y = (\frac{2}{3}) x + 4, - 2 x + 3 y = 6

2 x + y - 2 z = 1, x - 2 y + 3 z = 6, 3 x - 3 y - z = 5

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

2 x + 3 y + 4 z = 3, 2 x + 6 y + 8 z = 5, 4 x + 9 y - 4 z = 4

x + 3 y = 3, 2 x - y = 1.8

What is 8/x+5/y =-3, 6/x+(25)/y =2 ?
The solution to 8/x+5/y =-3, 6/x+(25)/y =2 is