What is (0.6)/x+2/y =5, 8/x-1/y =3 ?

The solution to (0.6)/x+2/y =5, 8/x-1/y =3 is

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(0.6)/x+2/y =5, 8/x-1/y =3

\frac{0.6}{x} + \frac{2}{y} = 5, \frac{8}{x} - \frac{1}{y} = 3

(x = 1.50909 \dots, y = \frac{83}{191})

Solution steps

[\frac{0.6}{x} + \frac{2}{y} = 5 \frac{8}{x} - \frac{1}{y} = 3]

Isolate

x

for

\frac{0.6}{x} + \frac{2}{y} = 5 : x = - \frac{3 y}{5 ( - 5 y + 2 )}; y \neq = \frac{2}{5}

Plug the solutions

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

into

\frac{8}{x} - \frac{1}{y} = 3

For

\frac{8}{x} - \frac{1}{y} = 3

, subsitute

x

with

- \frac{3 y}{5 ( - 5 y + 2 )} : y = \frac{83}{191}

Plug the solutions

y = \frac{83}{191}

into

\frac{0.6}{x} + \frac{2}{y} = 5

For

\frac{0.6}{x} + \frac{2}{y} = 5

, subsitute

y

with

\frac{83}{191} : x = 1.50909 \dots

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{0.6}{x} + \frac{2}{y} = 5, \frac{8}{x} - \frac{1}{y} = 3

(x = 1.50909 \dots, y = \frac{83}{191})

5 x - 3 y = 2, 1 x - 2 y = - 1

74 x - 3 y = 8, 6 x - y - \frac{29}{3} = 0

3 x + 2 y = 6, 2 x + 3 = 4

2 x + 3 y = 10, - x + y = - 5

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

What is (0.6)/x+2/y =5, 8/x-1/y =3 ?
The solution to (0.6)/x+2/y =5, 8/x-1/y =3 is