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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

(x = 3, y = 2)

Solution steps

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

Isolate

y

for

x + \frac{6}{y} = 6 : y = \frac{6}{6 - x}; x \neq = 6

Plug the solutions

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

into

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

For

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

, subsitute

y

with

\frac{6}{6 - x} : x = 3

Plug the solutions

x = 3

into

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

For

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

, subsitute

x

with

3 : y = 2

Verify solutions by plugging them into the original equations

Therefore, the final solution for

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

(x = 3, y = 2)

x + y = 10, x = y + 4

4 x - 3 y = 2, x - y = 4

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

x + 3 y + 3 z = 2, 3 x + 9 y + 3 z = 3, 3 x + 6 y + 6 z = 4

\frac{( 2 x )}{9} + \frac{y}{6} = 2, \frac{x}{a} - \frac{y}{b} = 4