What is 2x+y=1,2x-3y=-8 ?

The solution to 2x+y=1,2x-3y=-8 is x=-5/8 ,y= 9/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x+y=1,2x-3y=-8

2 x + y = 1, 2 x - 3 y = - 8

x = - \frac{5}{8}, y = \frac{9}{4}

Solution steps

[2 x + y = 1 2 x - 3 y = - 8]

Isolate

x

for

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

Substitute

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

[2 \cdot \frac{1 - y}{2} - 3 y = - 8]

Simplify

[1 - 4 y = - 8]

Isolate

y

for

1 - 4 y = - 8 : y = \frac{9}{4}

For

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

Substitute

y = \frac{9}{4}

x = \frac{1 - \frac{9}{4}}{2}

\frac{1 - \frac{9}{4}}{2} = - \frac{5}{8}

x = - \frac{5}{8}

The solutions to the system of equations are:

x = - \frac{5}{8}, y = \frac{9}{4}

x + 3 y = 10, 4 x + 12 y = 16

(4) 5 m - 3 n = 19, m^{6} n = - 7

x + y = 3, x + 6 y = 9

x + y = 7, 6 x + 5 y = 9

+ 3 a \cdot x_{2} = 4 - 91, x_{1} = 2