What is 3x+4y=8,x-2y=5 ?

The solution to 3x+4y=8,x-2y=5 is x= 18/5 ,y=-7/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x+4y=8,x-2y=5

3 x + 4 y = 8, x - 2 y = 5

x = \frac{18}{5}, y = - \frac{7}{10}

Solution steps

[3 x + 4 y = 8 x - 2 y = 5]

Isolate

x

for

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

Substitute

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

[\frac{8 - 4 y}{3} - 2 y = 5]

Simplify

[\frac{8 - 10 y}{3} = 5]

Isolate

y

for

\frac{8 - 10 y}{3} = 5 : y = - \frac{7}{10}

For

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

Substitute

y = - \frac{7}{10}

x = \frac{8 - 4 ( - \frac{7}{10} )}{3}

\frac{8 - 4 ( - \frac{7}{10} )}{3} = \frac{18}{5}

x = \frac{18}{5}

The solutions to the system of equations are:

x = \frac{18}{5}, y = - \frac{7}{10}

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

x + y = 9, 2 x - y = 12

4 x + 3 y = 48, 3 x + 2 y = 34

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

2 x + y = 1, 2 x - 3 y = - 8