What is 2x+y+z=7,x-y-z=-4,3x+2y+z=10 ?

The solution to 2x+y+z=7,x-y-z=-4,3x+2y+z=10 is x=1,y=2,z=3

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2x+y+z=7,x-y-z=-4,3x+2y+z=10

2 x + y + z = 7, x - y - z = - 4, 3 x + 2 y + z = 10

x = 1, y = 2, z = 3

Solution steps

2 x + y + z = 7 x - y - z = - 4 3 x + 2 y + z = 10

Isolate

x

for

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

Substitute

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

[\frac{7 - y - z}{2} - y - z = - 4 3 \cdot \frac{7 - y - z}{2} + 2 y + z = 10]

Simplify

[\frac{- 3 y - 3 z + 7}{2} = - 4 \frac{y - z + 21}{2} = 10]

Isolate

y

for

\frac{- 3 y - 3 z + 7}{2} = - 4 : y = - z + 5

Substitute

y = - z + 5

[\frac{- z + 5 - z + 21}{2} = 10]

Simplify

[- z + 13 = 10]

Isolate

z

for

- z + 13 = 10 : z = 3

For

y = - z + 5

Substitute

z = 3

y = - 3 + 5

Simplify

y = 2

For

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

Substitute

y = 2, z = 3

x = \frac{7 - 2 - 3}{2}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = 2, z = 3

2 x + y = - 4, 5 x - 3 y = 1

y 13 = 1, z 13 = 10, 0.03 + j 0.09 = 3.33 - j 10

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

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

a = - 18, a^{5} = 9, a^{9} = 0

What is 2x+y+z=7,x-y-z=-4,3x+2y+z=10 ?
The solution to 2x+y+z=7,x-y-z=-4,3x+2y+z=10 is x=1,y=2,z=3