What is 2x+3y=1,4-x+5y=-7 ?

The solution to 2x+3y=1,4-x+5y=-7 is x= 38/13 ,y=-21/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x+3y=1,4-x+5y=-7

2 x + 3 y = 1, 4 - x + 5 y = - 7

x = \frac{38}{13}, y = - \frac{21}{13}

Solution steps

[2 x + 3 y = 1 4 - x + 5 y = - 7]

Isolate

x

for

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

Substitute

x = \frac{1 - 3 y}{2}

[4 - \frac{1 - 3 y}{2} + 5 y = - 7]

Simplify

[\frac{- 1 + 13 y}{2} + 4 = - 7]

Isolate

y

for

\frac{- 1 + 13 y}{2} + 4 = - 7 : y = - \frac{21}{13}

For

x = \frac{1 - 3 y}{2}

Substitute

y = - \frac{21}{13}

x = \frac{1 - 3 ( - \frac{21}{13} )}{2}

\frac{1 - 3 ( - \frac{21}{13} )}{2} = \frac{38}{13}

x = \frac{38}{13}

The solutions to the system of equations are:

x = \frac{38}{13}, y = - \frac{21}{13}

x - y = - 1, - 2 x - y = 0

5 x - 3 y = 14, 3 x - 5 y = 2

2 x - y = 1, y - 5 x = 2

3 x + 2 y = 1, 2 x - y + 1 = 0

3 x + 2 y = 27, 5 x_{3} y = 25

What is 2x+3y=1,4-x+5y=-7 ?
The solution to 2x+3y=1,4-x+5y=-7 is x= 38/13 ,y=-21/13