What is 14=3y+x,20=2y-3x ?

The solution to 14=3y+x,20=2y-3x is x=-32/11 ,y= 62/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

14=3y+x,20=2y-3x

14 = 3 y + x, 20 = 2 y - 3 x

x = - \frac{32}{11}, y = \frac{62}{11}

Solution steps

[14 = 3 y + x 20 = 2 y - 3 x]

Isolate

y

for

14 = 3 y + x : y = \frac{14 - x}{3}

Substitute

y = \frac{14 - x}{3}

[20 = 2 \cdot \frac{14 - x}{3} - 3 x]

Simplify

[20 = \frac{28 - 11 x}{3}]

Isolate

x

for

20 = \frac{28 - 11 x}{3} : x = - \frac{32}{11}

For

y = \frac{14 - x}{3}

Substitute

x = - \frac{32}{11}

y = \frac{14 - ( - \frac{32}{11} )}{3}

\frac{14 - ( - \frac{32}{11} )}{3} = \frac{62}{11}

y = \frac{62}{11}

The solutions to the system of equations are:

x = - \frac{32}{11}, y = \frac{62}{11}

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

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

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

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

x + y = 10, y - x = 8

What is 14=3y+x,20=2y-3x ?
The solution to 14=3y+x,20=2y-3x is x=-32/11 ,y= 62/11