What is 3x-2/y =5,x+4/y =4 ?

The solution to 3x-2/y =5,x+4/y =4 is

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

3 x - \frac{2}{y} = 5, x + \frac{4}{y} = 4

(x = 2, y = 2)

Solution steps

[3 x - \frac{2}{y} = 5 x + \frac{4}{y} = 4]

Isolate

y

for

3 x - \frac{2}{y} = 5 : y = - \frac{2}{5 - 3 x}; x \neq = \frac{5}{3}

Plug the solutions

y = - \frac{2}{5 - 3 x}

into

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

For

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

, subsitute

y

with

- \frac{2}{5 - 3 x} : x = 2

Plug the solutions

x = 2

into

3 x - \frac{2}{y} = 5

For

3 x - \frac{2}{y} = 5

, subsitute

x

with

2 : y = 2

Verify solutions by plugging them into the original equations

Therefore, the final solution for

3 x - \frac{2}{y} = 5, x + \frac{4}{y} = 4

(x = 2, y = 2)

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12 x + 16 y = 18, 14 x + 18 y = 20

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72 x + 3 y = 41, 1 - 4 x - 1 = 18

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