en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(1)2x+3y=1,3x-y=7

Solution

(1) 2 x + 3 y = 1, 3 x - y = 7

Solution

x = 2, y = - 1

Solution steps

[(1) \cdot 2 x + 3 y = 1 3 x - y = 7]

Isolate

x

for

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

Substitute

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

[3 \cdot \frac{1 - 3 y}{2} - y = 7]

Simplify

[\frac{3 - 11 y}{2} = 7]

Isolate

y

for

\frac{3 - 11 y}{2} = 7 : y = - 1

For

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

Substitute

y = - 1

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

\frac{1 - 3 ( - 1 )}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

Popular Examples

3/x+2/y = 9/x*y, 9/x+4/y =(21)/x*y

\frac{3}{x} + \frac{2}{y} = \frac{9}{x} \cdot y, \frac{9}{x} + \frac{4}{y} = \frac{21}{x} \cdot y

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

(x - 7)^{2} = 3 y, x = 0

1/7 x+1/6 y=3, 1/2 x-1/3 y=5

\frac{1}{7} x + \frac{1}{6} y = 3, \frac{1}{2} x - \frac{1}{3} y = 5

3 x + y = 7, 4 x + 3 y = 6

Frequently Asked Questions (FAQ)

What is (1)2x+3y=1,3x-y=7 ?
The solution to (1)2x+3y=1,3x-y=7 is x=2,y=-1