What is x+y=3,x+z=4,y+z=-3 ?

The solution to x+y=3,x+z=4,y+z=-3 is x=5,y=-2,z=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 5, y = - 2, z = - 1

Solution steps

x + y = 3 x + z = 4 y + z = - 3

Isolate

x

for

x + y = 3 : x = 3 - y

Substitute

x = 3 - y

[3 - y + z = 4 y + z = - 3]

Isolate

y

for

3 - y + z = 4 : y = z - 1

Substitute

y = z - 1

[z - 1 + z = - 3]

Simplify

[2 z - 1 = - 3]

Isolate

z

for

2 z - 1 = - 3 : z = - 1

For

y = z - 1

Substitute

z = - 1

y = - 1 - 1

Simplify

y = - 2

For

x = 3 - y

Substitute

y = - 2, z = - 1

x = 3 - (- 2)

Simplify

x = 5

The solutions to the system of equations are:

x = 5, y = - 2, z = - 1

x - (- 2) y + 11 = 3, x - 6 y + 33 = 0

3 x + 2 y = 2, x - y = 9

3 x - 2 y = 5, 2 x + y = 1

20 x + 10 y = 50, 0 y^{40} x - 50 y = 300

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

What is x+y=3,x+z=4,y+z=-3 ?
The solution to x+y=3,x+z=4,y+z=-3 is x=5,y=-2,z=-1