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

The solution to 3x+y=5,-x+2y=7 is x= 3/7 ,y= 26/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{3}{7}, y = \frac{26}{7}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

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

Isolate

y

for

\frac{- 5 + 7 y}{3} = 7 : y = \frac{26}{7}

For

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

Substitute

y = \frac{26}{7}

x = \frac{5 - \frac{26}{7}}{3}

\frac{5 - \frac{26}{7}}{3} = \frac{3}{7}

x = \frac{3}{7}

The solutions to the system of equations are:

x = \frac{3}{7}, y = \frac{26}{7}

- 5 x + 2 y = 9, y = 7 x

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

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

5 x + 3 y + 17 = 4, x + y + 15 = 0

5 x - 8 x = 5, x = 80 x