What is 2c+3g=35,23c+4g=501 ?

The solution to 2c+3g=35,23c+4g=501 is c= 1363/61 ,g=-197/61

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2c+3g=35,23c+4g=501

2 c + 3 g = 35, 23 c + 4 g = 501

c = \frac{1363}{61}, g = - \frac{197}{61}

Solution steps

[2 c + 3 g = 35 23 c + 4 g = 501]

Isolate

c

for

2 c + 3 g = 35 : c = \frac{35 - 3 g}{2}

Substitute

c = \frac{35 - 3 g}{2}

[23 \cdot \frac{35 - 3 g}{2} + 4 g = 501]

Simplify

[\frac{805 - 61 g}{2} = 501]

Isolate

g

for

\frac{805 - 61 g}{2} = 501 : g = - \frac{197}{61}

For

c = \frac{35 - 3 g}{2}

Substitute

g = - \frac{197}{61}

c = \frac{35 - 3 ( - \frac{197}{61} )}{2}

\frac{35 - 3 ( - \frac{197}{61} )}{2} = \frac{1363}{61}

c = \frac{1363}{61}

The solutions to the system of equations are:

c = \frac{1363}{61}, g = - \frac{197}{61}

2 x + 3 y = 15, 2 y = 15 - 3 x

y - x = 1, x + y = 41

5 x + 4 y = 10, 6 x + 2 y = 2

3 x + 2 y = 10, x - y = 0

2 x + 5 y = 60, 3 x - 2 y = 14

What is 2c+3g=35,23c+4g=501 ?
The solution to 2c+3g=35,23c+4g=501 is c= 1363/61 ,g=-197/61