What is 4/x+3y=8, 6/x-4y=-5 ?

The solution to 4/x+3y=8, 6/x-4y=-5 is

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4/x+3y=8, 6/x-4y=-5

\frac{4}{x} + 3 y = 8, \frac{6}{x} - 4 y = - 5

(x = 2, y = 2)

Solution steps

[\frac{4}{x} + 3 y = 8 \frac{6}{x} - 4 y = - 5]

Isolate

x

for

\frac{4}{x} + 3 y = 8 : x = \frac{4}{8 - 3 y}; y \neq = \frac{8}{3}

Plug the solutions

x = \frac{4}{8 - 3 y}

into

\frac{6}{x} - 4 y = - 5

For

\frac{6}{x} - 4 y = - 5

, subsitute

x

with

\frac{4}{8 - 3 y} : y = 2

Plug the solutions

y = 2

into

\frac{4}{x} + 3 y = 8

For

\frac{4}{x} + 3 y = 8

, subsitute

y

with

2 : x = 2

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{4}{x} + 3 y = 8, \frac{6}{x} - 4 y = - 5

(x = 2, y = 2)

2 x + x - \frac{y}{6} = 2, x - 2 x + \frac{y}{3} = 1

y = \frac{( 23 x )}{4}, x = - 8

141 x + 93 y = 18, 993 x + 141 y = 45

- x + 4 y = 11, 2 x + y = - 4

\frac{x}{2} + \frac{y}{3} = 2, \frac{x}{3} + \frac{y}{9} = 1