en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

x = \frac{6}{13}, y = - \frac{5}{13}

Solution steps

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

Isolate

x

for

x - 4 y = 2 : x = 2 + 4 y

Substitute

x = 2 + 4 y

[3 (2 + 4 y) + y = 1]

Simplify

[6 + 13 y = 1]

Isolate

y

for

6 + 13 y = 1 : y = - \frac{5}{13}

For

x = 2 + 4 y

Substitute

y = - \frac{5}{13}

x = 2 + 4 (- \frac{5}{13})

2 + 4 (- \frac{5}{13}) = \frac{6}{13}

x = \frac{6}{13}

The solutions to the system of equations are:

x = \frac{6}{13}, y = - \frac{5}{13}

Popular Examples

(i)2x-y=-2,x+5y=5

(i) 2 x - y = - 2, x + 5 y = 5

2x-5y=-7,3x=18-2y

2 x - 5 y = - 7, 3 x = 18 - 2 y

2x+3y=8,5x-6y=10

2 x + 3 y = 8, 5 x - 6 y = 10

x+y=7,y+2=9,2+x=8

x + y = 7, y + 2 = 9, 2 + x = 8

x + y = 30, 4 x - y = 35

Frequently Asked Questions (FAQ)

What is x-4y=2,3x+y=1 ?
The solution to x-4y=2,3x+y=1 is x= 6/13 ,y=-5/13