en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x-3y=2,x+2y=8

Solution

2 x - 3 y = 2, x + 2 y = 8

Solution

x = 4, y = 2

Solution steps

[2 x - 3 y = 2 x + 2 y = 8]

Isolate

x

for

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

Substitute

x = \frac{2 + 3 y}{2}

[\frac{2 + 3 y}{2} + 2 y = 8]

Simplify

[\frac{2 + 7 y}{2} = 8]

Isolate

y

for

\frac{2 + 7 y}{2} = 8 : y = 2

For

x = \frac{2 + 3 y}{2}

Substitute

y = 2

x = \frac{2 + 3 \cdot 2}{2}

\frac{2 + 3 \cdot 2}{2} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 2

Popular Examples

5m-5n=12,2m+9n=20

5 m - 5 n = 12, 2 m + 9 n = 20

3x-2y=20,2x-2y=10

3 x - 2 y = 20, 2 x - 2 y = 10

x-y+1=3,x+2y-12=0

x - y + 1 = 3, x + 2 y - 12 = 0

x-2-4-3-2235y=-2x-4,y=2

x - 2 - 4 - 3 - 2235 y = - 2 x - 4, y = 2

2x-3y-3=0,((2x))/3+4y+1/2 =0

2 x - 3 y - 3 = 0, \frac{( 2 x )}{3} + 4 y + \frac{1}{2} = 0

Frequently Asked Questions (FAQ)

What is 2x-3y=2,x+2y=8 ?
The solution to 2x-3y=2,x+2y=8 is x=4,y=2