What is 5x+3y=1, 3/4*x-y=2 ?

The solution to 5x+3y=1, 3/4*x-y=2 is x= 28/29 ,y=-37/29

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5x+3y=1, 3/4*x-y=2

5 x + 3 y = 1, \frac{3}{4} \cdot x - y = 2

x = \frac{28}{29}, y = - \frac{37}{29}

Solution steps

[5 x + 3 y = 1 \frac{3}{4} x - y = 2]

Isolate

x

for

5 x + 3 y = 1 : x = \frac{1 - 3 y}{5}

Substitute

x = \frac{1 - 3 y}{5}

[\frac{3}{4} \cdot \frac{1 - 3 y}{5} - y = 2]

Simplify

[\frac{3 - 29 y}{20} = 2]

Isolate

y

for

\frac{3 - 29 y}{20} = 2 : y = - \frac{37}{29}

For

x = \frac{1 - 3 y}{5}

Substitute

y = - \frac{37}{29}

x = \frac{1 - 3 ( - \frac{37}{29} )}{5}

\frac{1 - 3 ( - \frac{37}{29} )}{5} = \frac{28}{29}

x = \frac{28}{29}

The solutions to the system of equations are:

x = \frac{28}{29}, y = - \frac{37}{29}

3 x - y = 5, 4 x - 3 y = - 1

x + y = 4, 1 x = 5 + y

5 x + y = - 19, 7 x - y = - 16

3 p - 5 q = - 3, 4 p - 5 p = 1

3 x + y = 2, 5 x - y = - 9

What is 5x+3y=1, 3/4*x-y=2 ?
The solution to 5x+3y=1, 3/4*x-y=2 is x= 28/29 ,y=-37/29