What is -2x+4y=7,3x-5y=4 ?

The solution to -2x+4y=7,3x-5y=4 is x= 51/2 ,y= 29/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2x+4y=7,3x-5y=4

- 2 x + 4 y = 7, 3 x - 5 y = 4

x = \frac{51}{2}, y = \frac{29}{2}

Solution steps

[- 2 x + 4 y = 7 3 x - 5 y = 4]

Isolate

x

for

- 2 x + 4 y = 7 : x = - \frac{7 - 4 y}{2}

Substitute

x = - \frac{7 - 4 y}{2}

[3 (- \frac{7 - 4 y}{2}) - 5 y = 4]

Simplify

[\frac{- 21 + 2 y}{2} = 4]

Isolate

y

for

\frac{- 21 + 2 y}{2} = 4 : y = \frac{29}{2}

For

x = - \frac{7 - 4 y}{2}

Substitute

y = \frac{29}{2}

x = - \frac{7 - 4 \cdot \frac{29}{2}}{2}

- \frac{7 - 4 \cdot \frac{29}{2}}{2} = \frac{51}{2}

x = \frac{51}{2}

The solutions to the system of equations are:

x = \frac{51}{2}, y = \frac{29}{2}

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

x + y = 6, x - y = 4

3 x - y = 3, 9 x - 3 y = 9

x - 3 y = 1, 3 x - 2 y + 4 = 0

x + y = 10, - 2 x + y = 1