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

The solution to x-3y=5,2x+2y=4 is x= 11/4 ,y=-3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{11}{4}, y = - \frac{3}{4}

Solution steps

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

Isolate

x

for

x - 3 y = 5 : x = 5 + 3 y

Substitute

x = 5 + 3 y

[2 (5 + 3 y) + 2 y = 4]

Simplify

[10 + 8 y = 4]

Isolate

y

for

10 + 8 y = 4 : y = - \frac{3}{4}

For

x = 5 + 3 y

Substitute

y = - \frac{3}{4}

x = 5 + 3 (- \frac{3}{4})

5 + 3 (- \frac{3}{4}) = \frac{11}{4}

x = \frac{11}{4}

The solutions to the system of equations are:

x = \frac{11}{4}, y = - \frac{3}{4}

x + y + 3 z = 10, x - y - z = - 2, 2 x + 3 y + 4 z = 4

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

3 x - \frac{2}{y} = 5, x + \frac{4}{y} = 4

x - y - 2 z = 0, - 2 x - 6 z = 1, - x + 2 y + z = 1

12 x + 16 y = 18, 14 x + 18 y = 20